(3x+6)(3x-6)=

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

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

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

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

Multiply (6 + 3x) * (-6 + 3x)
(6(-6 + 3x) + 3x * (-6 + 3x)) = 0
((-6 * 6 + 3x * 6) + 3x * (-6 + 3x)) = 0
((-36 + 18x) + 3x * (-6 + 3x)) = 0
(-36 + 18x + (-6 * 3x + 3x * 3x)) = 0
(-36 + 18x + (-18x + 9x2)) = 0

Combine like terms: 18x + -18x = 0
(-36 + 0 + 9x2) = 0
(-36 + 9x2) = 0

Solving
-36 + 9x2 = 0

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 9x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 9x2 = 0 + 36
9x2 = 0 + 36

Combine like terms: 0 + 36 = 36
9x2 = 36

Divide each side by '9'.
x2 = 4

Simplifying
x2 = 4

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