h^2+18h+45=0

Solution for h^2+18h+45=0 equation:

Simplifying
h2 + 18h + 45 = 0

Reorder the terms:
45 + 18h + h2 = 0

Solving
45 + 18h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(15 + h)(3 + h) = 0

Subproblem 1
Set the factor '(15 + h)' equal to zero and attempt to solve:

Simplifying
15 + h = 0

Solving
15 + h = 0

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

Add '-15' to each side of the equation.
15 + -15 + h = 0 + -15

Combine like terms: 15 + -15 = 0
0 + h = 0 + -15
h = 0 + -15

Combine like terms: 0 + -15 = -15
h = -15

Simplifying
h = -15
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 = {-15, -3}