h^2+14h+24=0

Solution for h^2+14h+24=0 equation:

Simplifying
h2 + 14h + 24 = 0

Reorder the terms:
24 + 14h + h2 = 0

Solving
24 + 14h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(12 + h)(2 + h) = 0

Subproblem 1
Set the factor '(12 + h)' equal to zero and attempt to solve:

Simplifying
12 + h = 0

Solving
12 + h = 0

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

Add '-12' to each side of the equation.
12 + -12 + h = 0 + -12

Combine like terms: 12 + -12 = 0
0 + h = 0 + -12
h = 0 + -12

Combine like terms: 0 + -12 = -12
h = -12

Simplifying
h = -12
Subproblem 2
Set the factor '(2 + h)' equal to zero and attempt to solve:

Simplifying
2 + h = 0

Solving
2 + h = 0

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

Add '-2' to each side of the equation.
2 + -2 + h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + h = 0 + -2
h = 0 + -2

Combine like terms: 0 + -2 = -2
h = -2

Simplifying
h = -2
Solution
h = {-12, -2}