7x^3+252x=0

Solution for 7x^3+252x=0 equation:

Simplifying
7x3 + 252x = 0

Reorder the terms:
252x + 7x3 = 0

Solving
252x + 7x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(36 + x2) = 0

Ignore the factor 7.
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 '(36 + x2)' equal to zero and attempt to solve:

Simplifying
36 + x2 = 0

Solving
36 + x2 = 0

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

Add '-36' to each side of the equation.
36 + -36 + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + x2 = 0 + -36
x2 = 0 + -36

Combine like terms: 0 + -36 = -36
x2 = -36

Simplifying
x2 = -36

The solution to this equation could not be determined.

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