(3x-3)(9x-1)=0

Solution for (3x-3)(9x-1)=0 equation:

Simplifying
(3x + -3)(9x + -1) = 0

Reorder the terms:
(-3 + 3x)(9x + -1) = 0

Reorder the terms:
(-3 + 3x)(-1 + 9x) = 0

Multiply (-3 + 3x) * (-1 + 9x)
(-3(-1 + 9x) + 3x * (-1 + 9x)) = 0
((-1 * -3 + 9x * -3) + 3x * (-1 + 9x)) = 0
((3 + -27x) + 3x * (-1 + 9x)) = 0
(3 + -27x + (-1 * 3x + 9x * 3x)) = 0
(3 + -27x + (-3x + 27x2)) = 0

Combine like terms: -27x + -3x = -30x
(3 + -30x + 27x2) = 0

Solving
3 + -30x + 27x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + -10x + 9x2) = 0

Factor a trinomial.
3((1 + -9x)(1 + -1x)) = 0

Ignore the factor 3.
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}