(3y+6)(3y-6)=

Solution for (3y+6)(3y-6)= equation:

Simplifying
(3y + 6)(3y + -6) = 0

Reorder the terms:
(6 + 3y)(3y + -6) = 0

Reorder the terms:
(6 + 3y)(-6 + 3y) = 0

Multiply (6 + 3y) * (-6 + 3y)
(6(-6 + 3y) + 3y * (-6 + 3y)) = 0
((-6 * 6 + 3y * 6) + 3y * (-6 + 3y)) = 0
((-36 + 18y) + 3y * (-6 + 3y)) = 0
(-36 + 18y + (-6 * 3y + 3y * 3y)) = 0
(-36 + 18y + (-18y + 9y2)) = 0

Combine like terms: 18y + -18y = 0
(-36 + 0 + 9y2) = 0
(-36 + 9y2) = 0

Solving
-36 + 9y2 = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '36' to each side of the equation.
-36 + 36 + 9y2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 9y2 = 0 + 36
9y2 = 0 + 36

Combine like terms: 0 + 36 = 36
9y2 = 36

Divide each side by '9'.
y2 = 4

Simplifying
y2 = 4

Take the square root of each side:
y = {-2, 2}