
Here are some factor pairs for negative 24. I made the first factor negative in

each of the pairs. I know that none of these pairs could sum to negative 5 since

the greater number is in the right hand column. All these sums would be

positive. If I make the second factor negative, I can see that the sum of each

of these factor pairs would end up being negative. So, the factor pair of

negative 8 and 3 sum to negative 5. We can rewrite our negative 5x and negative

8x and positive 3x using these two factors. When our factor pairs are negative

and positive, it's generally easier to list the negative term first. This makes

our factoring by grouping a little bit easier. We can factor our 4x from the

first two terms, and a positive 1 from the second two terms, since the only

factor that these two terms share is 1. I used brackets around this part of the

factoring because I have parentheses inside. For this inside bracket portion, we

have common factors of 3x minus 2, so we can factor that out, leaving us with

our final complete factored form.