(X^2+1)(x^4-2x^3-5x^2-6x)=0

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Solution for (X^2+1)(x^4-2x^3-5x^2-6x)=0 equation: 


Simplifying
(X2 + 1)(x4 + -2x3 + -5x2 + -6x) = 0

Reorder the terms:
(1 + X2)(x4 + -2x3 + -5x2 + -6x) = 0

Reorder the terms:
(1 + X2)(-6x + -5x2 + -2x3 + x4) = 0

Multiply (1 + X2) * (-6x + -5x2 + -2x3 + x4)
(1(-6x + -5x2 + -2x3 + x4) + X2(-6x + -5x2 + -2x3 + x4)) = 0
((-6x * 1 + -5x2 * 1 + -2x3 * 1 + x4 * 1) + X2(-6x + -5x2 + -2x3 + x4)) = 0
((-6x + -5x2 + -2x3 + 1x4) + X2(-6x + -5x2 + -2x3 + x4)) = 0
(-6x + -5x2 + -2x3 + 1x4 + (-6x * X2 + -5x2 * X2 + -2x3 * X2 + x4 * X2)) = 0
(-6x + -5x2 + -2x3 + 1x4 + (-6xX2 + -5x2X2 + -2x3X2 + x4X2)) = 0

Reorder the terms:
(-6x + -6xX2 + -5x2 + -5x2X2 + -2x3 + -2x3X2 + 1x4 + x4X2) = 0
(-6x + -6xX2 + -5x2 + -5x2X2 + -2x3 + -2x3X2 + 1x4 + x4X2) = 0

Solving
-6x + -6xX2 + -5x2 + -5x2X2 + -2x3 + -2x3X2 + 1x4 + x4X2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + -6X2 + -5x + -5xX2 + -2x2 + -2x2X2 + x3 + x3X2) = 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 '(-6 + -6X2 + -5x + -5xX2 + -2x2 + -2x2X2 + x3 + x3X2)' equal to zero and attempt to solve:

Simplifying
-6 + -6X2 + -5x + -5xX2 + -2x2 + -2x2X2 + x3 + x3X2 = 0

Solving
-6 + -6X2 + -5x + -5xX2 + -2x2 + -2x2X2 + x3 + x3X2 = 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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