2n^3+3n=0

Solution for 2n^3+3n=0 equation:

Simplifying
2n3 + 3n = 0

Reorder the terms:
3n + 2n3 = 0

Solving
3n + 2n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(3 + 2n2) = 0

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 '(3 + 2n2)' equal to zero and attempt to solve:

Simplifying
3 + 2n2 = 0

Solving
3 + 2n2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2n2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2n2 = 0 + -3
2n2 = 0 + -3

Combine like terms: 0 + -3 = -3
2n2 = -3

Divide each side by '2'.
n2 = -1.5

Simplifying
n2 = -1.5

The solution to this equation could not be determined.

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