p^2+22p+85=0

Solution for p^2+22p+85=0 equation:

Simplifying
p2 + 22p + 85 = 0

Reorder the terms:
85 + 22p + p2 = 0

Solving
85 + 22p + p2 = 0

Solving for variable 'p'.

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

Subproblem 1
Set the factor '(17 + p)' equal to zero and attempt to solve:

Simplifying
17 + p = 0

Solving
17 + p = 0

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

Add '-17' to each side of the equation.
17 + -17 + p = 0 + -17

Combine like terms: 17 + -17 = 0
0 + p = 0 + -17
p = 0 + -17

Combine like terms: 0 + -17 = -17
p = -17

Simplifying
p = -17
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 = {-17, -5}