p^2+12=-7p

Solution for p^2+12=-7p equation:

Simplifying
p2 + 12 = -7p

Reorder the terms:
12 + p2 = -7p

Solving
12 + p2 = -7p

Solving for variable 'p'.

Reorder the terms:
12 + 7p + p2 = -7p + 7p

Combine like terms: -7p + 7p = 0
12 + 7p + p2 = 0

Factor a trinomial.
(4 + p)(3 + p) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(3 + p)' equal to zero and attempt to solve:

Simplifying
3 + p = 0

Solving
3 + p = 0

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

Add '-3' to each side of the equation.
3 + -3 + p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + p = 0 + -3
p = 0 + -3

Combine like terms: 0 + -3 = -3
p = -3

Simplifying
p = -3
Solution
p = {-4, -3}