x^3-12x+36x=0

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Solution for x^3-12x+36x=0 equation: 


Simplifying
x3 + -12x + 36x = 0

Reorder the terms:
-12x + 36x + x3 = 0

Combine like terms: -12x + 36x = 24x
24x + x3 = 0

Solving
24x + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(24 + x2) = 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 '(24 + x2)' equal to zero and attempt to solve:

Simplifying
24 + x2 = 0

Solving
24 + x2 = 0

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

Add '-24' to each side of the equation.
24 + -24 + x2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + x2 = 0 + -24
x2 = 0 + -24

Combine like terms: 0 + -24 = -24
x2 = -24

Simplifying
x2 = -24

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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