1
99:59:59,999 --> 99:59:59,999
kumzekelo besiwenzile phambilini, yinto enganeyo.

2
00:00:00,940 --> 00:00:03,530
Wamkelekile kumboniso wophinda-phindo kunye

3
00:00:03,530 --> 00:00:05,270
nokwahlula amanani athabathayo.

4
00:00:05,270 --> 00:00:06,750
Masiqaliseni.

5
00:00:06,750 --> 00:00:08,920
Ndiyacinga uzakufumana uphinda-phindo nokwahlula

6
00:00:08,920 --> 00:00:10,730
amanani athabathayo iyinto elula kunonuba

7
00:00:13,867 --> 00:00:16,168
ikufundisa kwixesha elizayo, ndizakunika.

8
00:00:20,994 --> 00:00:25,220
Ngoko ke imithetho yokuqala xa uphinda-phinda mamnani amabini athabathayo,

9
00:00:25,220 --> 00:00:31,790
ngoko ke masithi ndino -2 umphinda-phinde ngo 2.

10
00:00:31,790 --> 00:00:33,970
Kuqala ujonga kwinani ngalinye ngathi

11
00:00:33,970 --> 00:00:35,240
bekungekho sichazi esithabathayo.

12
00:00:35,240 --> 00:00:40,150
Kulungile utsho, 2 umphinda-phinde ngo 2 ufumana u4.

13
00:00:40,150 --> 00:00:42,670
Kwaye iyafumaneka ukuba xa unesichazi esithabathayo usiphinda-phinde

14
00:00:42,670 --> 00:00:45,175
ngesichazi esithabathayo, ufumana isichazi isidibanisayo.

15
00:00:45,175 --> 00:00:47,710
ngoko ke masibhale lomthetho wokuqala phantsi.

16
00:00:47,710 --> 00:00:54,285
Isichazi esithabathayo usiphinda-phinde ngesinye ufumna isichazi esidibanisayo.

17
00:00:56,854 --> 00:01:01,892
Ukuba ibingu -2 umphinda-phinde ngo 2?

18
00:01:01,892 --> 00:01:04,770
Kulungile kwelicandelo, makhe siqale sijonge

19
00:01:04,770 --> 00:01:06,060
amanani amabini angenazichazi.

20
00:01:06,060 --> 00:01:10,170
Siyayazi ukuba 2 umphinda-phinde ngo 2 ngu 4.

21
00:01:10,170 --> 00:01:13,740
Kodwa apha sinesichazi esithabathayo usiphinda-phinde ngo2k, kwaye

22
00:01:13,740 --> 00:01:15,910
icace phandle, xa uphinda-phinda isichazi esithabathayo nge

23
00:01:15,910 --> 00:01:18,920
sichazi esidibaniosayo ufumana esithabathayo.

24
00:01:18,920 --> 00:01:20,260
ngoko ke ngomnye umthetho.

25
00:01:20,260 --> 00:01:29,009
Thabatha umphinda-phinde ngo dibanisa ufumana uthabatha.

26
00:01:29,009 --> 00:01:34,786
Kwenzeka ntoni xa unodibanisa 2 phinda-phinda thabatha 2?

27
00:01:34,786 --> 00:01:37,140
Ndiyacinga ukuba lena uzakuyifumana kakuhle, nje ngokuba ungatsho

28
00:01:37,140 --> 00:01:41,170
ukuba ezi zimbini ziyafana kakhulu, ndiyakholelwa

29
00:01:41,170 --> 00:01:44,800
yinjongo yendawo--haiy, hayi ndiyacinga yi

30
00:01:44,800 --> 00:01:45,860
kunxulumana kwendawo.

31
00:01:45,860 --> 00:01:47,700
Kufuneka ndiyikhumbule lonto.

32
00:01:47,700 --> 00:01:51,780
Kodwa 2 phinda-phinde ngo -2, lento ilingana no -4.

33
00:01:51,780 --> 00:01:57,640
ngoko ke sinemithetho epheleleyo ethi dibanisa umphinda-phinde ngo thabatha

34
00:01:57,640 --> 00:01:58,980
kwakhona ulingana no thabatha

35
00:01:58,980 --> 00:02:01,490
Kwaye ngqo lemithetho yesibini, zibu

36
00:02:03,985 --> 00:02:04,990
fana.

37
00:02:04,990 --> 00:02:07,570
Thabatha umphinda-phinde ngo dibanisa ngu thabatha , okanye dibanisa

38
00:02:07,570 --> 00:02:09,140
umphinda-phinde ngothabatha ngu thabatha.

39
00:02:09,140 --> 00:02:13,730
Ungaphinda utsho ukuba xa izichazi zahlukile kwaye

40
00:02:13,730 --> 00:02:16,400
uphinda-phinde amanani amabini, ufumana inani elithabathayo.

41
00:02:16,400 --> 00:02:18,890
Kwaye ngokucacileyo, uyayazi into eyenzekayo xa

42
00:02:18,890 --> 00:02:21,550
udibanisa umphinda-phinde ngodibanisa.

43
00:02:21,550 --> 00:02:22,840
Kulungile ngu dibanisa.

44
00:02:22,840 --> 00:02:23,900
Ngoko ke masiphinde siqwalasele.

45
00:02:23,900 --> 00:02:27,970
Uthabatha umphinda-phinde ngothabatha ufumana udibanisa.

46
00:02:27,970 --> 00:02:30,390
Into ethabathayo uyiphinda-phinde ngodibanisa ufumana uthabatha.

47
00:02:30,390 --> 00:02:32,730
Into edibanisayo uyiphinda-phinde ngothabatha ufumana uthabatha.

48
00:02:32,730 --> 00:02:36,290
Kwaye dibanisa umphinda-phinde kwangaye ilingana nodibanisa.

49
00:02:36,290 --> 00:02:39,980
Ndiyacinga aukuba lena yokugqibela ikubhidile mpela.

50
00:02:39,980 --> 00:02:42,270
Okanye ndingayicalucalula ukulungiselela wena.

51
00:02:42,270 --> 00:02:46,350
Ungathini ukuba ndingathi xa uphinda-phinda kwaye izinto

52
00:02:46,350 --> 00:02:55,175
zakho zinezichazi ezifanayo ufumana iziphumo ezidibanisayo.

53
00:02:55,175 --> 00:02:57,840
Kwaye izichazi ezahlukileyo zikunika iziphumo ezithabathayo.

54
00:03:11,010 --> 00:03:17,780
Ngoko ke maxa wambi, masithi 1 umphinda-phinde ngo 1 ilingana no1.

55
00:03:17,780 --> 00:03:22,120
okanye ukuba ndithi -1 umphinda-phinde ngo -1 ufumana

56
00:03:22,120 --> 00:03:23,510
+1 kwakhona.

57
00:03:23,510 --> 00:03:29,150
oknaye ukubandithi 1 umphinda-phinde ngo -1 ilingna no -1, okanye

58
00:03:29,150 --> 00:03:32,600
-1 umphinda-phinde ngo 1 ufumana -1.

59
00:03:32,600 --> 00:03:36,130
Uyabona kwezinxaki zimbini zingentla ndibe nezinto ezimbini ezahlukeneyo

60
00:03:36,130 --> 00:03:38,590
izichazi, enye edibanisa kunye nenye ethabathayo?

61
00:03:38,590 --> 00:03:41,120
Kwaye kwezinxaki zimbini zinntla, lena ilapha

62
00:03:41,120 --> 00:03:42,680
zombini ziyadibanisa.

63
00:03:42,680 --> 00:03:45,970
Kwaye lena ilapha zombini ziyathabatha.

64
00:03:45,970 --> 00:03:49,110
Ngoko ke masenze iqela lemizekelo ngoku, kwaye ngethemba izakunika umfanekiso

65
00:03:49,110 --> 00:03:51,510
wokwazi ubuyele ekhaya, kwaye kwakhona ungazama ukwenza kawakunye

66
00:03:51,510 --> 00:03:56,195
nenxaki zokuziqhelanisa kwaye kwakhona unike inltuva kunye nantoni

67
00:04:02,855 --> 00:04:06,750
Ngoko ke ukuba ndithi -4 umphinda-phinde ngo +3, kulungile 4 umphimda-phinde

68
00:04:06,750 --> 00:04:11,820
ngo 3 ngu 12, kwaye sinothabatha kunye nodibanisa.

69
00:04:11,820 --> 00:04:15,670
ngoko ke izichazi ezahlukileyo zithetha nguthabatha.

70
00:04:15,670 --> 00:04:19,060
Ngoko ke -4 umhpinda-phinde ngo 3 ngu -12.

71
00:04:19,060 --> 00:04:21,310
Lonto enza ucacelwe ngoba kanye kanye sithi ngubani

72
00:04:21,310 --> 00:04:25,070
-4 uphinda-phinde kwangaye amatyeli amathathu, ngoko ke kufana nokuthi -4

73
00:04:25,070 --> 00:04:27,800
dibanisa -4 dibanisa -4, ukutsho ngu -12.

74
00:04:27,800 --> 00:04:31,120
Ukuba ubumbonile umboniso wodibaniso kunye nokuthabatha amanai athabatha

75
00:04:31,120 --> 00:04:34,200
kukhangeleka ukuba kufuneka uyibukele kuqala.

76
00:04:34,200 --> 00:04:35,210
Masinze enye.

77
00:04:35,210 --> 00:04:40,430
Ukuba ndingathi -2 phinda-phinda -7.

78
00:04:40,430 --> 00:04:42,470
Kwaye ungafuna ukumisa kancinci umboniso nangaliphi na ixesha ukubona ukuba

79
00:04:42,470 --> 00:04:44,030
uyayazi ukuba yenziwa njani kwaye kwangoko uqalele ukubona

80
00:04:44,030 --> 00:04:45,420
ukuba impendulo ithini.

81
00:04:45,420 --> 00:04:51,190
Kulungile, 2 phinda-phinda 7 ngu 14, kwaye sinezichazi manani ezifananyo apha, ngoko ke

82
00:04:51,190 --> 00:04:53,530
ngu dibanisa 14--ngokwesiqhelo awunokuyibhala

83
00:04:53,530 --> 00:04:56,930
isichazi esidibanisayo kodwa lonto iyenza kancinci icace kakhulu.

84
00:04:56,930 --> 00:05:05,880
kwaye ukuba bendino--mandithi

85
00:05:05,880 --> 00:05:08,800
Kulungile, 9 phinda-phinda 5 ngu 45.

86
00:05:08,800 --> 00:05:13,660
Kwaye kwakhona, izichazi manani zahlukile lonto yenza uthabatha.

87
00:05:13,660 --> 00:05:18,010
Kwaye kwangoko ekugqibeleni mandithi ndino-- mandicinge ngamanani

88
00:05:18,010 --> 00:05:24,540
amahle-- -6 phinda-phinda -11.

89
00:05:24,540 --> 00:05:29,730
Kulungile, 6 phinda-phinda 11 ngu 66 kwaye kwangoko nguthabatha kwaye

90
00:05:29,730 --> 00:05:31,720
thabatha, ngu dibanisa.

91
00:05:31,720 --> 00:05:32,910
Mandikunike inxaki anobuqhinga.

92
00:05:32,910 --> 00:05:39,100
Ngubani u0 phinda-phinda -12?

93
00:05:39,100 --> 00:05:42,740
kulungile, ungathi izichazi manani azifani, kodwa

94
00:05:42,740 --> 00:05:46,460
0 akanasichazi noba siyadibanisa okanye siyathabtha.

95
00:05:46,460 --> 00:05:48,315
Kwaye 0 phinda-phinda nantoni na ihlala ingu 0.

96
00:05:48,315 --> 00:05:52,080
Ayithethi into ophinda-phinda ngayo li

97
00:05:52,080 --> 00:05:53,650
nani e4lithabathayo okanye linani elidibanisayo.

98
00:05:53,650 --> 00:05:57,630
0 phinda-phinda nantoni na ngu 0.

99
00:05:57,630 --> 00:06:00,020
Ngoko ke, masijonge ukuba singakwazi na ukusebenzisa lemithetho naxa sisahlula.

100
00:06:00,020 --> 00:06:03,080
Icacili phandle ukuba lemithetho singayisebenzisa.

101
00:06:03,080 --> 00:06:09,030
Ukuba ndino 9 umahlule ngo -3.

102
00:06:09,030 --> 00:06:11,820
Kulungile, kuqala sithi ngubani u 9 umahlule ngo 3?

103
00:06:11,820 --> 00:06:13,640
Kunjalo ngu 3.

104
00:06:13,640 --> 00:06:17,920
Kwaye zinezichazi ezhlukileyo, +9, -3.

105
00:06:17,920 --> 00:06:22,190
Ngoko ke izichazi manani ezingafaniyo zithetha uthabatha.

106
00:06:22,190 --> 00:06:27,520
Kwaye zinezichazi ezhlukileyo, +9, -3.

107
00:06:27,520 --> 00:06:33,830
Ngunbani -16 umahlule ngo 8?

108
00:06:33,830 --> 00:06:37,790
Kulungile, kwakhona 16 umahlule ngo 8 ngu 2, kodwa

109
00:06:37,790 --> 00:06:39,370
izichazi manani zahlukile.

110
00:06:39,370 --> 00:06:44,830
-16 umahlule ngo +8, ilingana no -2.

111
00:06:44,830 --> 00:06:49,140
Khumbula, izichazi amanani ezahlukileyo zikunika iziphumo ezithabathayo.

112
00:06:49,140 --> 00:07:00,500
ngubani -54 umahlule ngo +6?

113
00:07:00,500 --> 00:07:04,320
Kulungile, 54 umahlule ngo 6 ngu 9.

114
00:07:04,320 --> 00:07:09,050
Kwaye kuba zombini, umahluli kunye nomahlulwa, be

115
00:07:11,470 --> 00:07:13,890
nezichazi manani ezithabathayo-- ngu -54 kwaye -6 -- icace phandle

116
00:07:22,470 --> 00:07:24,730
Masenye enye yokugqibela.

117
00:07:24,730 --> 00:07:30,500
Icacile, 0 umahlule nanga ntoni na izakuhlala ingu 0.

118
00:07:30,500 --> 00:07:31,510
Ngeyona ilula kakhulu.

119
00:07:31,510 --> 00:07:33,200
Kwaye ngokunjalo, awunokwazi ukwahlula ngo 0

120
00:07:33,200 --> 00:07:36,210
lonto ayichazeki.

121
00:07:36,210 --> 00:07:38,420
Masenze enye.

122
00:07:38,420 --> 00:07:41,890
ngubani-- ndizakucinga ngamanani ahlukeneyo--

123
00:07:41,890 --> 00:07:44,930
4 umahlule ngo -1?

124
00:07:44,930 --> 00:07:50,610
Kulungile, 4 umahlule ngo 1 ngu 4, kodwa izichazi manai zahlukile.

125
00:07:50,610 --> 00:07:53,130
Ngoko ke ngu -4.

126
00:07:53,130 --> 00:07:54,410
Ndiyathemba lonto iyanceda.

127
00:07:54,410 --> 00:07:56,865
Ngoku into endifuna uyenze kukuzama ezininzi

128
00:07:56,865 --> 00:08:01,380
eziphinda-phindayo kwaye nezahlulayo ezinamanani athabathayo kanga ngoko ndinako.

129
00:08:01,380 --> 00:08:03,010
Kwaye icofa kwintluva kwaye izakukhumbuza

130
00:08:03,010 --> 00:08:04,260
imithetho ozakuyisebenzisa.

131
00:08:04,260 --> 00:08:09,445
Ngelakho ixesha ungafuna ukucinga ukuba kutheni

132
00:08:09,460 --> 00:08:11,459
lemithetho isebenza kwaye ithetha ntoni ukuphinda-phinda inani elithabathayo

133
00:08:11,459 --> 00:08:15,320
uliphinda-phinde ngelidibanisayo.

134
00:08:15,320 --> 00:08:16,982
kwaye inikisa umdla kakhulu, ithetha ntoni ukuphinda-phinda inani elithabathayo

135
00:08:16,982 --> 00:08:20,230
uliphinda-phinde ngeliothabathayo.

136
00:08:20,230 --> 00:08:23,215
kodwa ndiyacinga kulendawongethemba ukulungele

137
00:08:23,215 --> 00:08:27,160
ukuqalisa ukwenza inxaki.

138
00:08:27,160 --> 00:08:29,020
Ndlela ntle.