x^3(x^2-9)+12x^2(9-x^2)+11x(x^2-9)=0

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Solution for x^3(x^2-9)+12x^2(9-x^2)+11x(x^2-9)=0 equation: 


Simplifying
x3(x2 + -9) + 12x2(9 + -1x2) + 11x(x2 + -9) = 0

Reorder the terms:
x3(-9 + x2) + 12x2(9 + -1x2) + 11x(x2 + -9) = 0
(-9 * x3 + x2 * x3) + 12x2(9 + -1x2) + 11x(x2 + -9) = 0
(-9x3 + x5) + 12x2(9 + -1x2) + 11x(x2 + -9) = 0
-9x3 + x5 + (9 * 12x2 + -1x2 * 12x2) + 11x(x2 + -9) = 0
-9x3 + x5 + (108x2 + -12x4) + 11x(x2 + -9) = 0

Reorder the terms:
-9x3 + x5 + 108x2 + -12x4 + 11x(-9 + x2) = 0
-9x3 + x5 + 108x2 + -12x4 + (-9 * 11x + x2 * 11x) = 0
-9x3 + x5 + 108x2 + -12x4 + (-99x + 11x3) = 0

Reorder the terms:
-99x + 108x2 + -9x3 + 11x3 + -12x4 + x5 = 0

Combine like terms: -9x3 + 11x3 = 2x3
-99x + 108x2 + 2x3 + -12x4 + x5 = 0

Solving
-99x + 108x2 + 2x3 + -12x4 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-99 + 108x + 2x2 + -12x3 + 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 '(-99 + 108x + 2x2 + -12x3 + x4)' equal to zero and attempt to solve:

Simplifying
-99 + 108x + 2x2 + -12x3 + x4 = 0

Solving
-99 + 108x + 2x2 + -12x3 + 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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