(9x-9)(8x+8)=0

Solution for (9x-9)(8x+8)=0 equation:

Simplifying
(9x + -9)(8x + 8) = 0

Reorder the terms:
(-9 + 9x)(8x + 8) = 0

Reorder the terms:
(-9 + 9x)(8 + 8x) = 0

Multiply (-9 + 9x) * (8 + 8x)
(-9(8 + 8x) + 9x * (8 + 8x)) = 0
((8 * -9 + 8x * -9) + 9x * (8 + 8x)) = 0
((-72 + -72x) + 9x * (8 + 8x)) = 0
(-72 + -72x + (8 * 9x + 8x * 9x)) = 0
(-72 + -72x + (72x + 72x2)) = 0

Combine like terms: -72x + 72x = 0
(-72 + 0 + 72x2) = 0
(-72 + 72x2) = 0

Solving
-72 + 72x2 = 0

Solving for variable 'x'.

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

Add '72' to each side of the equation.
-72 + 72 + 72x2 = 0 + 72

Combine like terms: -72 + 72 = 0
0 + 72x2 = 0 + 72
72x2 = 0 + 72

Combine like terms: 0 + 72 = 72
72x2 = 72

Divide each side by '72'.
x2 = 1

Simplifying
x2 = 1

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