(6x-1)(3x-3)=

Solution for (6x-1)(3x-3)= equation:

Simplifying
(6x + -1)(3x + -3) = 0

Reorder the terms:
(-1 + 6x)(3x + -3) = 0

Reorder the terms:
(-1 + 6x)(-3 + 3x) = 0

Multiply (-1 + 6x) * (-3 + 3x)
(-1(-3 + 3x) + 6x * (-3 + 3x)) = 0
((-3 * -1 + 3x * -1) + 6x * (-3 + 3x)) = 0
((3 + -3x) + 6x * (-3 + 3x)) = 0
(3 + -3x + (-3 * 6x + 3x * 6x)) = 0
(3 + -3x + (-18x + 18x2)) = 0

Combine like terms: -3x + -18x = -21x
(3 + -21x + 18x2) = 0

Solving
3 + -21x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + -7x + 6x2) = 0

Factor a trinomial.
3((1 + -6x)(1 + -1x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(1 + -6x)' equal to zero and attempt to solve:

Simplifying
1 + -6x = 0

Solving
1 + -6x = 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 + -6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 0 + -1
-6x = 0 + -1

Combine like terms: 0 + -1 = -1
-6x = -1

Divide each side by '-6'.
x = 0.1666666667

Simplifying
x = 0.1666666667
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 = {0.1666666667, 1}