(x^2+6)(x^5-3x^3-54x)=0

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Solution for (x^2+6)(x^5-3x^3-54x)=0 equation: 


Simplifying
(x2 + 6)(x5 + -3x3 + -54x) = 0

Reorder the terms:
(6 + x2)(x5 + -3x3 + -54x) = 0

Reorder the terms:
(6 + x2)(-54x + -3x3 + x5) = 0

Multiply (6 + x2) * (-54x + -3x3 + x5)
(6(-54x + -3x3 + x5) + x2(-54x + -3x3 + x5)) = 0
((-54x * 6 + -3x3 * 6 + x5 * 6) + x2(-54x + -3x3 + x5)) = 0
((-324x + -18x3 + 6x5) + x2(-54x + -3x3 + x5)) = 0
(-324x + -18x3 + 6x5 + (-54x * x2 + -3x3 * x2 + x5 * x2)) = 0
(-324x + -18x3 + 6x5 + (-54x3 + -3x5 + x7)) = 0

Reorder the terms:
(-324x + -18x3 + -54x3 + 6x5 + -3x5 + x7) = 0

Combine like terms: -18x3 + -54x3 = -72x3
(-324x + -72x3 + 6x5 + -3x5 + x7) = 0

Combine like terms: 6x5 + -3x5 = 3x5
(-324x + -72x3 + 3x5 + x7) = 0

Solving
-324x + -72x3 + 3x5 + x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-324 + -72x2 + 3x4 + x6) = 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 '(-324 + -72x2 + 3x4 + x6)' equal to zero and attempt to solve:

Simplifying
-324 + -72x2 + 3x4 + x6 = 0

Solving
-324 + -72x2 + 3x4 + x6 = 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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