p^2+16p+55=-5

Solution for p^2+16p+55=-5 equation:

Simplifying
p2 + 16p + 55 = -5

Reorder the terms:
55 + 16p + p2 = -5

Solving
55 + 16p + p2 = -5

Solving for variable 'p'.

Reorder the terms:
55 + 5 + 16p + p2 = -5 + 5

Combine like terms: 55 + 5 = 60
60 + 16p + p2 = -5 + 5

Combine like terms: -5 + 5 = 0
60 + 16p + p2 = 0

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

Subproblem 1
Set the factor '(10 + p)' equal to zero and attempt to solve:

Simplifying
10 + p = 0

Solving
10 + p = 0

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

Add '-10' to each side of the equation.
10 + -10 + p = 0 + -10

Combine like terms: 10 + -10 = 0
0 + p = 0 + -10
p = 0 + -10

Combine like terms: 0 + -10 = -10
p = -10

Simplifying
p = -10
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 = {-10, -6}