(-4x+2)(6x-6)=

Solution for (-4x+2)(6x-6)= equation:

Simplifying
(-4x + 2)(6x + -6) = 0

Reorder the terms:
(2 + -4x)(6x + -6) = 0

Reorder the terms:
(2 + -4x)(-6 + 6x) = 0

Multiply (2 + -4x) * (-6 + 6x)
(2(-6 + 6x) + -4x * (-6 + 6x)) = 0
((-6 * 2 + 6x * 2) + -4x * (-6 + 6x)) = 0
((-12 + 12x) + -4x * (-6 + 6x)) = 0
(-12 + 12x + (-6 * -4x + 6x * -4x)) = 0
(-12 + 12x + (24x + -24x2)) = 0

Combine like terms: 12x + 24x = 36x
(-12 + 36x + -24x2) = 0

Solving
-12 + 36x + -24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(-1 + 3x + -2x2) = 0

Factor a trinomial.
12((-1 + x)(1 + -2x)) = 0

Ignore the factor 12.
Subproblem 1
Set the factor '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

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

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

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

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {1, 0.5}