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

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

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

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

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

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

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

Solving
-36 + 36x2 = 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 + 36x2 = 0 + 36

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

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

Divide each side by '36'.
x2 = 1

Simplifying
x2 = 1

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