Question

How do you solve `(3x+2)^{2}-10(3x+2)+24=0`?

Answer 1

Please see the explanation.

Explanation:

Let `u = 3x + 2`

`u^2 - 10u + 24 = 0`

`(u - 4)(u - 6) = 0`

`u = 4 and u = 6`

`3x + 2 = 4 and 3x + 2 = 6`

`x = 2/3 and x = 4/3`