x(x^2+4)(x^2-x-6)=0

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Solution for x(x^2+4)(x^2-x-6)=0 equation: 


Simplifying
x(x2 + 4)(x2 + -1x + -6) = 0

Reorder the terms:
x(4 + x2)(x2 + -1x + -6) = 0

Reorder the terms:
x(4 + x2)(-6 + -1x + x2) = 0

Multiply (4 + x2) * (-6 + -1x + x2)
x(4(-6 + -1x + x2) + x2(-6 + -1x + x2)) = 0
x((-6 * 4 + -1x * 4 + x2 * 4) + x2(-6 + -1x + x2)) = 0
x((-24 + -4x + 4x2) + x2(-6 + -1x + x2)) = 0
x(-24 + -4x + 4x2 + (-6 * x2 + -1x * x2 + x2 * x2)) = 0
x(-24 + -4x + 4x2 + (-6x2 + -1x3 + x4)) = 0

Combine like terms: 4x2 + -6x2 = -2x2
x(-24 + -4x + -2x2 + -1x3 + x4) = 0
(-24 * x + -4x * x + -2x2 * x + -1x3 * x + x4 * x) = 0
(-24x + -4x2 + -2x3 + -1x4 + x5) = 0

Solving
-24x + -4x2 + -2x3 + -1x4 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-24 + -4x + -2x2 + -1x3 + 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 '(-24 + -4x + -2x2 + -1x3 + x4)' equal to zero and attempt to solve:

Simplifying
-24 + -4x + -2x2 + -1x3 + x4 = 0

Solving
-24 + -4x + -2x2 + -1x3 + 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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