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

Solution for (3x-3)(6x+6)=0 equation:

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

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

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

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

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

Solving
-18 + 18x2 = 0

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 18x2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 18x2 = 0 + 18
18x2 = 0 + 18

Combine like terms: 0 + 18 = 18
18x2 = 18

Divide each side by '18'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}