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

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Solution for 0=(2x-2)(x+4) equation: 


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

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

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

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

Combine like terms: -2x + 8x = 6x
0 = (-8 + 6x + 2x2)

Solving
0 = -8 + 6x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 8 = 8
8 + -6x + -2x2 = -8 + 6x + 2x2 + 8 + -6x + -2x2

Reorder the terms:
8 + -6x + -2x2 = -8 + 8 + 6x + -6x + 2x2 + -2x2

Combine like terms: -8 + 8 = 0
8 + -6x + -2x2 = 0 + 6x + -6x + 2x2 + -2x2
8 + -6x + -2x2 = 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
8 + -6x + -2x2 = 0 + 2x2 + -2x2
8 + -6x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
8 + -6x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -3x + -1x2) = 0

Factor a trinomial.
2((1 + -1x)(4 + x)) = 0

Ignore the factor 2.

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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

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

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

Simplifying
x = -4
Solution
x = {1, -4}

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