-63p=p^2+2p

Solution for -63p=p^2+2p equation:

Simplifying
-63p = p2 + 2p

Reorder the terms:
-63p = 2p + p2

Solving
-63p = 2p + p2

Solving for variable 'p'.

Combine like terms: -63p + -2p = -65p
-65p + -1p2 = 2p + p2 + -2p + -1p2

Reorder the terms:
-65p + -1p2 = 2p + -2p + p2 + -1p2

Combine like terms: 2p + -2p = 0
-65p + -1p2 = 0 + p2 + -1p2
-65p + -1p2 = p2 + -1p2

Combine like terms: p2 + -1p2 = 0
-65p + -1p2 = 0

Factor out the Greatest Common Factor (GCF), '-1p'.
-1p(65 + 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 '(65 + p)' equal to zero and attempt to solve:

Simplifying
65 + p = 0

Solving
65 + p = 0

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

Add '-65' to each side of the equation.
65 + -65 + p = 0 + -65

Combine like terms: 65 + -65 = 0
0 + p = 0 + -65
p = 0 + -65

Combine like terms: 0 + -65 = -65
p = -65

Simplifying
p = -65
Solution
p = {0, -65}