(x^4+6x^3)+(-9x^2-54x)=0

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Solution for (x^4+6x^3)+(-9x^2-54x)=0 equation: 


Simplifying
(x4 + 6x3) + (-9x2 + -54x) = 0

Reorder the terms:
(6x3 + x4) + (-9x2 + -54x) = 0

Remove parenthesis around (6x3 + x4)
6x3 + x4 + (-9x2 + -54x) = 0

Reorder the terms:
6x3 + x4 + (-54x + -9x2) = 0

Remove parenthesis around (-54x + -9x2)
6x3 + x4 + -54x + -9x2 = 0

Reorder the terms:
-54x + -9x2 + 6x3 + x4 = 0

Solving
-54x + -9x2 + 6x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-54 + -9x + 6x2 + x3) = 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 '(-54 + -9x + 6x2 + x3)' equal to zero and attempt to solve:

Simplifying
-54 + -9x + 6x2 + x3 = 0

Solving
-54 + -9x + 6x2 + 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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