(2x+4)(2x-4)=-4x-16

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Solution for (2x+4)(2x-4)=-4x-16 equation: 


Simplifying
(2x + 4)(2x + -4) = -4x + -16

Reorder the terms:
(4 + 2x)(2x + -4) = -4x + -16

Reorder the terms:
(4 + 2x)(-4 + 2x) = -4x + -16

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

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

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

Add '16' to each side of the equation.
-16 + 16 + 4x2 = -16 + 16 + -4x

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

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

Solving
4x2 = -4x

Solving for variable 'x'.

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

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

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

Ignore the factor 4.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {0, -1}

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