(2x-2)(4x+8)=

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Solution for (2x-2)(4x+8)= equation: 


Simplifying
(2x + -2)(4x + 8) = 0

Reorder the terms:
(-2 + 2x)(4x + 8) = 0

Reorder the terms:
(-2 + 2x)(8 + 4x) = 0

Multiply (-2 + 2x) * (8 + 4x)
(-2(8 + 4x) + 2x * (8 + 4x)) = 0
((8 * -2 + 4x * -2) + 2x * (8 + 4x)) = 0
((-16 + -8x) + 2x * (8 + 4x)) = 0
(-16 + -8x + (8 * 2x + 4x * 2x)) = 0
(-16 + -8x + (16x + 8x2)) = 0

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

Solving
-16 + 8x + 8x2 = 0

Solving for variable 'x'.

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

Factor a trinomial.
8((-2 + -1x)(1 + -1x)) = 0

Ignore the factor 8.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

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

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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 = {-2, 1}

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