2h^2+13h+15=0

Solution for 2h^2+13h+15=0 equation:

Simplifying
2h2 + 13h + 15 = 0

Reorder the terms:
15 + 13h + 2h2 = 0

Solving
15 + 13h + 2h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(5 + h)(3 + 2h) = 0

Subproblem 1
Set the factor '(5 + h)' equal to zero and attempt to solve:

Simplifying
5 + h = 0

Solving
5 + h = 0

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

Add '-5' to each side of the equation.
5 + -5 + h = 0 + -5

Combine like terms: 5 + -5 = 0
0 + h = 0 + -5
h = 0 + -5

Combine like terms: 0 + -5 = -5
h = -5

Simplifying
h = -5
Subproblem 2
Set the factor '(3 + 2h)' equal to zero and attempt to solve:

Simplifying
3 + 2h = 0

Solving
3 + 2h = 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 + 2h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2h = 0 + -3
2h = 0 + -3

Combine like terms: 0 + -3 = -3
2h = -3

Divide each side by '2'.
h = -1.5

Simplifying
h = -1.5
Solution
h = {-5, -1.5}