k^3+3k=0

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

Simplifying
k3 + 3k = 0

Reorder the terms:
3k + k3 = 0

Solving
3k + k3 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(3 + k2) = 0

Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0
Subproblem 2
Set the factor '(3 + k2)' equal to zero and attempt to solve:

Simplifying
3 + k2 = 0

Solving
3 + k2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + k2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + k2 = 0 + -3
k2 = 0 + -3

Combine like terms: 0 + -3 = -3
k2 = -3

Simplifying
k2 = -3

The solution to this equation could not be determined.

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