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

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

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

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

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

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

Combine like terms: -9x + -72x = -81x
(9 + -81x + 72x2) = 0

Solving
9 + -81x + 72x2 = 0

Solving for variable 'x'.

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

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

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

Simplifying
1 + -8x = 0

Solving
1 + -8x = 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 + -8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = 0 + -1
-8x = 0 + -1

Combine like terms: 0 + -1 = -1
-8x = -1

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125
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 = {0.125, 1}