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

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

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

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

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

Multiply (-6 + 2x) * (4 + 4x)
(-6(4 + 4x) + 2x * (4 + 4x)) = 0
((4 * -6 + 4x * -6) + 2x * (4 + 4x)) = 0
((-24 + -24x) + 2x * (4 + 4x)) = 0
(-24 + -24x + (4 * 2x + 4x * 2x)) = 0
(-24 + -24x + (8x + 8x2)) = 0

Combine like terms: -24x + 8x = -16x
(-24 + -16x + 8x2) = 0

Solving
-24 + -16x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-3 + -2x + x2) = 0

Factor a trinomial.
8((-1 + -1x)(3 + -1x)) = 0

Ignore the factor 8.
Subproblem 1
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
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-1, 3}