(6x-6)(8x-4)=

Solution for (6x-6)(8x-4)= equation:

Simplifying
(6x + -6)(8x + -4) = 0

Reorder the terms:
(-6 + 6x)(8x + -4) = 0

Reorder the terms:
(-6 + 6x)(-4 + 8x) = 0

Multiply (-6 + 6x) * (-4 + 8x)
(-6(-4 + 8x) + 6x * (-4 + 8x)) = 0
((-4 * -6 + 8x * -6) + 6x * (-4 + 8x)) = 0
((24 + -48x) + 6x * (-4 + 8x)) = 0
(24 + -48x + (-4 * 6x + 8x * 6x)) = 0
(24 + -48x + (-24x + 48x2)) = 0

Combine like terms: -48x + -24x = -72x
(24 + -72x + 48x2) = 0

Solving
24 + -72x + 48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '24'.
24(1 + -3x + 2x2) = 0

Factor a trinomial.
24((1 + -2x)(1 + -1x)) = 0

Ignore the factor 24.
Subproblem 1
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
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 = {0.5, 1}