p^2+13p=-12

Solution for p^2+13p=-12 equation:

Simplifying
p2 + 13p = -12

Reorder the terms:
13p + p2 = -12

Solving
13p + p2 = -12

Solving for variable 'p'.

Reorder the terms:
12 + 13p + p2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + 13p + p2 = 0

Factor a trinomial.
(12 + p)(1 + p) = 0

Subproblem 1
Set the factor '(12 + p)' equal to zero and attempt to solve:

Simplifying
12 + p = 0

Solving
12 + p = 0

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

Add '-12' to each side of the equation.
12 + -12 + p = 0 + -12

Combine like terms: 12 + -12 = 0
0 + p = 0 + -12
p = 0 + -12

Combine like terms: 0 + -12 = -12
p = -12

Simplifying
p = -12
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 = {-12, -1}