(x^2+2x-4)(x^3-x^2-12x)=0

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Solution for (x^2+2x-4)(x^3-x^2-12x)=0 equation: 


Simplifying
(x2 + 2x + -4)(x3 + -1x2 + -12x) = 0

Reorder the terms:
(-4 + 2x + x2)(x3 + -1x2 + -12x) = 0

Reorder the terms:
(-4 + 2x + x2)(-12x + -1x2 + x3) = 0

Multiply (-4 + 2x + x2) * (-12x + -1x2 + x3)
(-4(-12x + -1x2 + x3) + 2x * (-12x + -1x2 + x3) + x2(-12x + -1x2 + x3)) = 0
((-12x * -4 + -1x2 * -4 + x3 * -4) + 2x * (-12x + -1x2 + x3) + x2(-12x + -1x2 + x3)) = 0
((48x + 4x2 + -4x3) + 2x * (-12x + -1x2 + x3) + x2(-12x + -1x2 + x3)) = 0
(48x + 4x2 + -4x3 + (-12x * 2x + -1x2 * 2x + x3 * 2x) + x2(-12x + -1x2 + x3)) = 0
(48x + 4x2 + -4x3 + (-24x2 + -2x3 + 2x4) + x2(-12x + -1x2 + x3)) = 0
(48x + 4x2 + -4x3 + -24x2 + -2x3 + 2x4 + (-12x * x2 + -1x2 * x2 + x3 * x2)) = 0
(48x + 4x2 + -4x3 + -24x2 + -2x3 + 2x4 + (-12x3 + -1x4 + x5)) = 0

Reorder the terms:
(48x + 4x2 + -24x2 + -4x3 + -2x3 + -12x3 + 2x4 + -1x4 + x5) = 0

Combine like terms: 4x2 + -24x2 = -20x2
(48x + -20x2 + -4x3 + -2x3 + -12x3 + 2x4 + -1x4 + x5) = 0

Combine like terms: -4x3 + -2x3 = -6x3
(48x + -20x2 + -6x3 + -12x3 + 2x4 + -1x4 + x5) = 0

Combine like terms: -6x3 + -12x3 = -18x3
(48x + -20x2 + -18x3 + 2x4 + -1x4 + x5) = 0

Combine like terms: 2x4 + -1x4 = 1x4
(48x + -20x2 + -18x3 + 1x4 + x5) = 0

Solving
48x + -20x2 + -18x3 + 1x4 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(48 + -20x + -18x2 + x3 + x4) = 0


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 '(48 + -20x + -18x2 + x3 + x4)' equal to zero and attempt to solve:

Simplifying
48 + -20x + -18x2 + x3 + x4 = 0

Solving
48 + -20x + -18x2 + x3 + x4 = 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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