x^3+72x=0

Solution for x^3+72x=0 equation:

Simplifying
x3 + 72x = 0

Reorder the terms:
72x + x3 = 0

Solving
72x + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(72 + 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 '(72 + x2)' equal to zero and attempt to solve:

Simplifying
72 + x2 = 0

Solving
72 + x2 = 0

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

Add '-72' to each side of the equation.
72 + -72 + x2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + x2 = 0 + -72
x2 = 0 + -72

Combine like terms: 0 + -72 = -72
x2 = -72

Simplifying
x2 = -72

The solution to this equation could not be determined.

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