x^3-36x=9x^3

Solution for x^3-36x=9x^3 equation:

Simplifying
x3 + -36x = 9x3

Reorder the terms:
-36x + x3 = 9x3

Solving
-36x + x3 = 9x3

Solving for variable 'x'.

Combine like terms: x3 + -9x3 = -8x3
-36x + -8x3 = 9x3 + -9x3

Combine like terms: 9x3 + -9x3 = 0
-36x + -8x3 = 0

Factor out the Greatest Common Factor (GCF), '-4x'.
-4x(9 + 2x2) = 0

Ignore the factor -4.
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 '(9 + 2x2)' equal to zero and attempt to solve:

Simplifying
9 + 2x2 = 0

Solving
9 + 2x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + 2x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2x2 = 0 + -9
2x2 = 0 + -9

Combine like terms: 0 + -9 = -9
2x2 = -9

Divide each side by '2'.
x2 = -4.5

Simplifying
x2 = -4.5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}