3n^3+3n=0

Solution for 3n^3+3n=0 equation:

Simplifying
3n3 + 3n = 0

Reorder the terms:
3n + 3n3 = 0

Solving
3n + 3n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3n'.
3n(1 + n2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(1 + n2)' equal to zero and attempt to solve:

Simplifying
1 + n2 = 0

Solving
1 + n2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + n2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + n2 = 0 + -1
n2 = 0 + -1

Combine like terms: 0 + -1 = -1
n2 = -1

Simplifying
n2 = -1

The solution to this equation could not be determined.

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