h^2+15h+44=0

Solution for h^2+15h+44=0 equation:

Simplifying
h2 + 15h + 44 = 0

Reorder the terms:
44 + 15h + h2 = 0

Solving
44 + 15h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(11 + h)(4 + h) = 0

Subproblem 1
Set the factor '(11 + h)' equal to zero and attempt to solve:

Simplifying
11 + h = 0

Solving
11 + h = 0

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

Add '-11' to each side of the equation.
11 + -11 + h = 0 + -11

Combine like terms: 11 + -11 = 0
0 + h = 0 + -11
h = 0 + -11

Combine like terms: 0 + -11 = -11
h = -11

Simplifying
h = -11
Subproblem 2
Set the factor '(4 + h)' equal to zero and attempt to solve:

Simplifying
4 + h = 0

Solving
4 + h = 0

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

Add '-4' to each side of the equation.
4 + -4 + h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + h = 0 + -4
h = 0 + -4

Combine like terms: 0 + -4 = -4
h = -4

Simplifying
h = -4
Solution
h = {-11, -4}