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

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


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

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

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

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

Combine like terms: 8x + -4x = 4x
0 = (-16 + 4x + 2x2)

Solving
0 = -16 + 4x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 16 = 16
16 + -4x + -2x2 = -16 + 4x + 2x2 + 16 + -4x + -2x2

Reorder the terms:
16 + -4x + -2x2 = -16 + 16 + 4x + -4x + 2x2 + -2x2

Combine like terms: -16 + 16 = 0
16 + -4x + -2x2 = 0 + 4x + -4x + 2x2 + -2x2
16 + -4x + -2x2 = 4x + -4x + 2x2 + -2x2

Combine like terms: 4x + -4x = 0
16 + -4x + -2x2 = 0 + 2x2 + -2x2
16 + -4x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
16 + -4x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -2x + -1x2) = 0

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

Ignore the factor 2.

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 '(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 = {2, -4}

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