p^2=-13p-36

Solution for p^2=-13p-36 equation:

Simplifying
p2 = -13p + -36

Reorder the terms:
p2 = -36 + -13p

Solving
p2 = -36 + -13p

Solving for variable 'p'.

Reorder the terms:
36 + 13p + p2 = -36 + -13p + 36 + 13p

Reorder the terms:
36 + 13p + p2 = -36 + 36 + -13p + 13p

Combine like terms: -36 + 36 = 0
36 + 13p + p2 = 0 + -13p + 13p
36 + 13p + p2 = -13p + 13p

Combine like terms: -13p + 13p = 0
36 + 13p + p2 = 0

Factor a trinomial.
(9 + p)(4 + p) = 0

Subproblem 1
Set the factor '(9 + p)' equal to zero and attempt to solve:

Simplifying
9 + p = 0

Solving
9 + p = 0

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

Add '-9' to each side of the equation.
9 + -9 + p = 0 + -9

Combine like terms: 9 + -9 = 0
0 + p = 0 + -9
p = 0 + -9

Combine like terms: 0 + -9 = -9
p = -9

Simplifying
p = -9
Subproblem 2
Set the factor '(4 + p)' equal to zero and attempt to solve:

Simplifying
4 + p = 0

Solving
4 + p = 0

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

Add '-4' to each side of the equation.
4 + -4 + p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + p = 0 + -4
p = 0 + -4

Combine like terms: 0 + -4 = -4
p = -4

Simplifying
p = -4
Solution
p = {-9, -4}