H^2+11H+10=0

Solution for H^2+11H+10=0 equation:

Simplifying
H2 + 11H + 10 = 0

Reorder the terms:
10 + 11H + H2 = 0

Solving
10 + 11H + H2 = 0

Solving for variable 'H'.

Factor a trinomial.
(10 + H)(1 + H) = 0

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

Simplifying
10 + H = 0

Solving
10 + H = 0

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

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

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

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

Simplifying
H = -10
Subproblem 2
Set the factor '(1 + H)' equal to zero and attempt to solve:

Simplifying
1 + H = 0

Solving
1 + H = 0

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

Add '-1' to each side of the equation.
1 + -1 + H = 0 + -1

Combine like terms: 1 + -1 = 0
0 + H = 0 + -1
H = 0 + -1

Combine like terms: 0 + -1 = -1
H = -1

Simplifying
H = -1
Solution
H = {-10, -1}