=p+p^2

Solution for =p+p^2 equation:

Simplifying
0 = p + p2

Solving
0 = p + p2

Solving for variable 'p'.
Remove the zero:
-1p + -1p2 = p + p2 + -1p + -1p2

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

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

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

Factor out the Greatest Common Factor (GCF), '-1p'.
-1p(1 + p) = 0

Ignore the factor -1.
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}