P^1+P^3=0

Solution for P^1+P^3=0 equation:

Simplifying
P + P3 = 0

Solving
P + P3 = 0

Solving for variable 'P'.

Factor out the Greatest Common Factor (GCF), 'P'.
P(1 + 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 '(1 + P2)' equal to zero and attempt to solve:

Simplifying
1 + P2 = 0

Solving
1 + P2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + P2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + P2 = 0 + -1
P2 = 0 + -1

Combine like terms: 0 + -1 = -1
P2 = -1

Simplifying
P2 = -1

The solution to this equation could not be determined.

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