p^2+36=-12p

Solution for p^2+36=-12p equation:

Simplifying
p2 + 36 = -12p

Reorder the terms:
36 + p2 = -12p

Solving
36 + p2 = -12p

Solving for variable 'p'.

Reorder the terms:
36 + 12p + p2 = -12p + 12p

Combine like terms: -12p + 12p = 0
36 + 12p + p2 = 0

Factor a trinomial.
(6 + p)(6 + p) = 0

Subproblem 1
Set the factor '(6 + p)' equal to zero and attempt to solve:

Simplifying
6 + p = 0

Solving
6 + p = 0

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

Add '-6' to each side of the equation.
6 + -6 + p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + p = 0 + -6
p = 0 + -6

Combine like terms: 0 + -6 = -6
p = -6

Simplifying
p = -6
Subproblem 2
Set the factor '(6 + p)' equal to zero and attempt to solve:

Simplifying
6 + p = 0

Solving
6 + p = 0

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

Add '-6' to each side of the equation.
6 + -6 + p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + p = 0 + -6
p = 0 + -6

Combine like terms: 0 + -6 = -6
p = -6

Simplifying
p = -6
Solution
p = {-6, -6}