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

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


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

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

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

Multiply (-12x + 2x2) * (-12 + -4x + x2)
(-12x * (-12 + -4x + x2) + 2x2 * (-12 + -4x + x2)) = 0
((-12 * -12x + -4x * -12x + x2 * -12x) + 2x2 * (-12 + -4x + x2)) = 0
((144x + 48x2 + -12x3) + 2x2 * (-12 + -4x + x2)) = 0
(144x + 48x2 + -12x3 + (-12 * 2x2 + -4x * 2x2 + x2 * 2x2)) = 0
(144x + 48x2 + -12x3 + (-24x2 + -8x3 + 2x4)) = 0

Reorder the terms:
(144x + 48x2 + -24x2 + -12x3 + -8x3 + 2x4) = 0

Combine like terms: 48x2 + -24x2 = 24x2
(144x + 24x2 + -12x3 + -8x3 + 2x4) = 0

Combine like terms: -12x3 + -8x3 = -20x3
(144x + 24x2 + -20x3 + 2x4) = 0

Solving
144x + 24x2 + -20x3 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(72 + 12x + -10x2 + x3) = 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 '(72 + 12x + -10x2 + x3)' equal to zero and attempt to solve:

Simplifying
72 + 12x + -10x2 + x3 = 0

Solving
72 + 12x + -10x2 + x3 = 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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