What is the solution set for the equation 4(3x-2)^2=36? Give explanation

Answer:
C
Step-by-step explanation:
So let's remember that solution set means the value of x when y=0. Knowing that, all we have to do is solve for x.
First we divide both sides by 4, leaving us with
(3x-2)^2=9
Then we can proceed to square root each side, leaving us with (keep in mind that -3^2 is also equal to 9!)
3x-2= +/- 3
And now we add two on each side, giving us
3x=5
and
3x=-1.
This means that we can safely select c as our answer.
And finally we can