h^2+17h+72=0

Solution for h^2+17h+72=0 equation:

Simplifying
h2 + 17h + 72 = 0

Reorder the terms:
72 + 17h + h2 = 0

Solving
72 + 17h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(9 + h)(8 + h) = 0

Subproblem 1
Set the factor '(9 + h)' equal to zero and attempt to solve:

Simplifying
9 + h = 0

Solving
9 + h = 0

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

Add '-9' to each side of the equation.
9 + -9 + h = 0 + -9

Combine like terms: 9 + -9 = 0
0 + h = 0 + -9
h = 0 + -9

Combine like terms: 0 + -9 = -9
h = -9

Simplifying
h = -9
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 = {-9, -8}