(7x-7)(6x+6)=0

Solution for (7x-7)(6x+6)=0 equation:

Simplifying
(7x + -7)(6x + 6) = 0

Reorder the terms:
(-7 + 7x)(6x + 6) = 0

Reorder the terms:
(-7 + 7x)(6 + 6x) = 0

Multiply (-7 + 7x) * (6 + 6x)
(-7(6 + 6x) + 7x * (6 + 6x)) = 0
((6 * -7 + 6x * -7) + 7x * (6 + 6x)) = 0
((-42 + -42x) + 7x * (6 + 6x)) = 0
(-42 + -42x + (6 * 7x + 6x * 7x)) = 0
(-42 + -42x + (42x + 42x2)) = 0

Combine like terms: -42x + 42x = 0
(-42 + 0 + 42x2) = 0
(-42 + 42x2) = 0

Solving
-42 + 42x2 = 0

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 42 + 42x2 = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 42x2 = 0 + 42
42x2 = 0 + 42

Combine like terms: 0 + 42 = 42
42x2 = 42

Divide each side by '42'.
x2 = 1

Simplifying
x2 = 1

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