can you help me with this

Question

|2x - 3|^2 - 6|2x - 3| + 5=0

I know you are goood with this stuff

Math question here.

let |2x - 3| = y then you have

y^2 - 6y + 5 = 0
(y-5)(y-1)=0

y = 5 or y = 1

or |2x - 3| = 5 or |2x - 3| = 1

So you have |2x - 3| = 5

giving you:

2x - 3 = 5 or -2x + 3 = 5
2x= 4 -2x = 2
x = 2 x = -1

repeat the same steps with |2x - 3| = 1 for 2 more answers.