﻿[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:00.20,0:00:05.02,Default,,0000,0000,0000,,First we multiply by the LCD, rs on both sides of our equation. This gives us t Dialogue: 0,0:00:05.02,0:00:10.19,Default,,0000,0000,0000,,on the left side and, and the quantity t plus r times r on the right side. Next Dialogue: 0,0:00:10.19,0:00:15.16,Default,,0000,0000,0000,,we distribute the rt to these terms to get this equations. We subtract rt from Dialogue: 0,0:00:15.16,0:00:20.55,Default,,0000,0000,0000,,both sides to get t minus rt equals r squared. Remember, we want to solve for t Dialogue: 0,0:00:20.55,0:00:24.85,Default,,0000,0000,0000,,so let's get it on one side. I'm going to rewrite our equation up here and now Dialogue: 0,0:00:24.85,0:00:29.40,Default,,0000,0000,0000,,we have to factor. We want to get one t out of these two terms. If we factor our Dialogue: 0,0:00:29.40,0:00:34.82,Default,,0000,0000,0000,,t, we're left with t times 1 minus r equals r squared. Finally we divide by 1 Dialogue: 0,0:00:34.82,0:00:40.03,Default,,0000,0000,0000,,minus r to get t is equal to r squared divided by 1 minus r. Fantastic work if Dialogue: 0,0:00:40.03,0:00:43.94,Default,,0000,0000,0000,,you got this. Now I know this is pretty challenging so don't worry if you don't Dialogue: 0,0:00:43.94,0:00:47.74,Default,,0000,0000,0000,,have the hang of it yet. Let's try working through a couple more and see if you Dialogue: 0,0:00:47.74,0:00:48.31,Default,,0000,0000,0000,,pick it up.