p^2+16p+55=0

Solution for p^2+16p+55=0 equation:

Simplifying
p2 + 16p + 55 = 0

Reorder the terms:
55 + 16p + p2 = 0

Solving
55 + 16p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(11 + p)(5 + p) = 0

Subproblem 1
Set the factor '(11 + p)' equal to zero and attempt to solve:

Simplifying
11 + p = 0

Solving
11 + p = 0

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

Add '-11' to each side of the equation.
11 + -11 + p = 0 + -11

Combine like terms: 11 + -11 = 0
0 + p = 0 + -11
p = 0 + -11

Combine like terms: 0 + -11 = -11
p = -11

Simplifying
p = -11
Subproblem 2
Set the factor '(5 + p)' equal to zero and attempt to solve:

Simplifying
5 + p = 0

Solving
5 + p = 0

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

Add '-5' to each side of the equation.
5 + -5 + p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + p = 0 + -5
p = 0 + -5

Combine like terms: 0 + -5 = -5
p = -5

Simplifying
p = -5
Solution
p = {-11, -5}