p^2=-1p

Solution for p^2=-1p equation:

Simplifying
p2 = -1p

Solving
p2 = -1p

Solving for variable 'p'.

Reorder the terms:
p + p2 = -1p + p

Combine like terms: -1p + p = 0
p + p2 = 0

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

Simplifying
1 + p = 0

Solving
1 + p = 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 + p = 0 + -1

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

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

Simplifying
p = -1
Solution
p = {0, -1}