h^2+11h+24=

Solution for h^2+11h+24= equation:

Simplifying
h2 + 11h + 24 = 0

Reorder the terms:
24 + 11h + h2 = 0

Solving
24 + 11h + h2 = 0

Solving for variable 'h'.

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

Subproblem 1
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
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 = {-8, -3}