p^2=p

Solution for p^2=p equation:

Simplifying
p2 = p

Solving
p2 = p

Solving for variable 'p'.

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

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