h^2+18h+80=0

Solution for h^2+18h+80=0 equation:

Simplifying
h2 + 18h + 80 = 0

Reorder the terms:
80 + 18h + h2 = 0

Solving
80 + 18h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(10 + h)(8 + 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 '(8 + h)' equal to zero and attempt to solve:

Simplifying
8 + h = 0

Solving
8 + h = 0

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

Add '-8' to each side of the equation.
8 + -8 + h = 0 + -8

Combine like terms: 8 + -8 = 0
0 + h = 0 + -8
h = 0 + -8

Combine like terms: 0 + -8 = -8
h = -8

Simplifying
h = -8
Solution
h = {-10, -8}