x(x^2-4)(8x+12)=0

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Solution for x(x^2-4)(8x+12)=0 equation: 


Simplifying
x(x2 + -4)(8x + 12) = 0

Reorder the terms:
x(-4 + x2)(8x + 12) = 0

Reorder the terms:
x(-4 + x2)(12 + 8x) = 0

Multiply (-4 + x2) * (12 + 8x)
x(-4(12 + 8x) + x2(12 + 8x)) = 0
x((12 * -4 + 8x * -4) + x2(12 + 8x)) = 0
x((-48 + -32x) + x2(12 + 8x)) = 0
x(-48 + -32x + (12 * x2 + 8x * x2)) = 0
x(-48 + -32x + (12x2 + 8x3)) = 0
x(-48 + -32x + 12x2 + 8x3) = 0
(-48 * x + -32x * x + 12x2 * x + 8x3 * x) = 0
(-48x + -32x2 + 12x3 + 8x4) = 0

Solving
-48x + -32x2 + 12x3 + 8x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-12 + -8x + 3x2 + 2x3) = 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 '(-12 + -8x + 3x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-12 + -8x + 3x2 + 2x3 = 0

Solving
-12 + -8x + 3x2 + 2x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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