(2x-2)(3x+3)=0

Solution for (2x-2)(3x+3)=0 equation:

Simplifying
(2x + -2)(3x + 3) = 0

Reorder the terms:
(-2 + 2x)(3x + 3) = 0

Reorder the terms:
(-2 + 2x)(3 + 3x) = 0

Multiply (-2 + 2x) * (3 + 3x)
(-2(3 + 3x) + 2x * (3 + 3x)) = 0
((3 * -2 + 3x * -2) + 2x * (3 + 3x)) = 0
((-6 + -6x) + 2x * (3 + 3x)) = 0
(-6 + -6x + (3 * 2x + 3x * 2x)) = 0
(-6 + -6x + (6x + 6x2)) = 0

Combine like terms: -6x + 6x = 0
(-6 + 0 + 6x2) = 0
(-6 + 6x2) = 0

Solving
-6 + 6x2 = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 6x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 6x2 = 0 + 6
6x2 = 0 + 6

Combine like terms: 0 + 6 = 6
6x2 = 6

Divide each side by '6'.
x2 = 1

Simplifying
x2 = 1

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