(2x-2)(8x+6)=

Solution for (2x-2)(8x+6)= equation:

Simplifying
(2x + -2)(8x + 6) = 0

Reorder the terms:
(-2 + 2x)(8x + 6) = 0

Reorder the terms:
(-2 + 2x)(6 + 8x) = 0

Multiply (-2 + 2x) * (6 + 8x)
(-2(6 + 8x) + 2x * (6 + 8x)) = 0
((6 * -2 + 8x * -2) + 2x * (6 + 8x)) = 0
((-12 + -16x) + 2x * (6 + 8x)) = 0
(-12 + -16x + (6 * 2x + 8x * 2x)) = 0
(-12 + -16x + (12x + 16x2)) = 0

Combine like terms: -16x + 12x = -4x
(-12 + -4x + 16x2) = 0

Solving
-12 + -4x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + -1x + 4x2) = 0

Factor a trinomial.
4((-3 + -4x)(1 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve:

Simplifying
-3 + -4x = 0

Solving
-3 + -4x = 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 + -4x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = 0 + 3
-4x = 0 + 3

Combine like terms: 0 + 3 = 3
-4x = 3

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75
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 = {-0.75, 1}