h^2+10h=-24

Solution for h^2+10h=-24 equation:

Simplifying
h2 + 10h = -24

Reorder the terms:
10h + h2 = -24

Solving
10h + h2 = -24

Solving for variable 'h'.

Reorder the terms:
24 + 10h + h2 = -24 + 24

Combine like terms: -24 + 24 = 0
24 + 10h + h2 = 0

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

Subproblem 1
Set the factor '(6 + h)' equal to zero and attempt to solve:

Simplifying
6 + h = 0

Solving
6 + h = 0

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

Add '-6' to each side of the equation.
6 + -6 + h = 0 + -6

Combine like terms: 6 + -6 = 0
0 + h = 0 + -6
h = 0 + -6

Combine like terms: 0 + -6 = -6
h = -6

Simplifying
h = -6
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 = {-6, -4}