(2x+4)x(2x+4)=

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


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

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

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

Reorder the terms for easier multiplication:
x(4 + 2x)(4 + 2x) = 0

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

Combine like terms: 8x + 8x = 16x
x(16 + 16x + 4x2) = 0
(16 * x + 16x * x + 4x2 * x) = 0
(16x + 16x2 + 4x3) = 0

Solving
16x + 16x2 + 4x3 = 0

Solving for variable 'x'.

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

Factor a trinomial.
4x((2 + x)(2 + 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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2

Subproblem 3
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {0, -2, -2}

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