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

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


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

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

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

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

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

Combine like terms: 4x + -8x = -4x
x(-16 + -4x + 2x2) = 0
(-16 * x + -4x * x + 2x2 * x) = 0
(-16x + -4x2 + 2x3) = 0

Solving
-16x + -4x2 + 2x3 = 0

Solving for variable 'x'.

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

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

Ignore the factor 2.

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 + -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 3
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
Solution
x = {0, -2, 4}

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