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

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


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

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

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

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

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

Solving
-16 + 4x + 2x2 = 0

Solving for variable 'x'.

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

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

Ignore the factor 2.

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

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 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 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
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
Solution
x = {-4, 2}

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