h^2+9h+18=0

Solution for h^2+9h+18=0 equation:

Simplifying
h2 + 9h + 18 = 0

Reorder the terms:
18 + 9h + h2 = 0

Solving
18 + 9h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(6 + h)(3 + 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 '(3 + h)' equal to zero and attempt to solve:

Simplifying
3 + h = 0

Solving
3 + h = 0

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

Add '-3' to each side of the equation.
3 + -3 + h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + h = 0 + -3
h = 0 + -3

Combine like terms: 0 + -3 = -3
h = -3

Simplifying
h = -3
Solution
h = {-6, -3}