H^2+11H+30=0

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

Simplifying
H2 + 11H + 30 = 0

Reorder the terms:
30 + 11H + H2 = 0

Solving
30 + 11H + H2 = 0

Solving for variable 'H'.

Factor a trinomial.
(6 + H)(5 + H) = 0

Subproblem 1
Set the factor '(6 + H)' equal to zero and attempt to solve:

Simplifying
6 + H = 0

Solving
6 + H = 0

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

Add '-6' to each side of the equation.
6 + -6 + H = 0 + -6

Combine like terms: 6 + -6 = 0
0 + H = 0 + -6
H = 0 + -6

Combine like terms: 0 + -6 = -6
H = -6

Simplifying
H = -6
Subproblem 2
Set the factor '(5 + H)' equal to zero and attempt to solve:

Simplifying
5 + H = 0

Solving
5 + H = 0

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

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

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

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

Simplifying
H = -5
Solution
H = {-6, -5}