p^3+2p=0

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

Simplifying
p3 + 2p = 0

Reorder the terms:
2p + p3 = 0

Solving
2p + p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(2 + p2) = 0

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

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0
Subproblem 2
Set the factor '(2 + p2)' equal to zero and attempt to solve:

Simplifying
2 + p2 = 0

Solving
2 + p2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + p2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + p2 = 0 + -2
p2 = 0 + -2

Combine like terms: 0 + -2 = -2
p2 = -2

Simplifying
p2 = -2

The solution to this equation could not be determined.

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