P^2+11P+30=0

Solution for P^2+11P+30=0 equation:

Simplifying
P2 + 11P + 30 = 0

Reorder the terms:
30 + 11P + P2 = 0

Solving
30 + 11P + P2 = 0

Solving for variable 'P'.

Factor a trinomial.
(6 + P)(5 + 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 '(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 = {-6, -5}