(8x-8)(9x-1)=0

Solution for (8x-8)(9x-1)=0 equation:

Simplifying
(8x + -8)(9x + -1) = 0

Reorder the terms:
(-8 + 8x)(9x + -1) = 0

Reorder the terms:
(-8 + 8x)(-1 + 9x) = 0

Multiply (-8 + 8x) * (-1 + 9x)
(-8(-1 + 9x) + 8x * (-1 + 9x)) = 0
((-1 * -8 + 9x * -8) + 8x * (-1 + 9x)) = 0
((8 + -72x) + 8x * (-1 + 9x)) = 0
(8 + -72x + (-1 * 8x + 9x * 8x)) = 0
(8 + -72x + (-8x + 72x2)) = 0

Combine like terms: -72x + -8x = -80x
(8 + -80x + 72x2) = 0

Solving
8 + -80x + 72x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(1 + -10x + 9x2) = 0

Factor a trinomial.
8((1 + -9x)(1 + -1x)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(1 + -9x)' equal to zero and attempt to solve:

Simplifying
1 + -9x = 0

Solving
1 + -9x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -9x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = 0 + -1
-9x = 0 + -1

Combine like terms: 0 + -1 = -1
-9x = -1

Divide each side by '-9'.
x = 0.1111111111

Simplifying
x = 0.1111111111
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0.1111111111, 1}