5h^2+22h-15=0

Solution for 5h^2+22h-15=0 equation:

Simplifying
5h2 + 22h + -15 = 0

Reorder the terms:
-15 + 22h + 5h2 = 0

Solving
-15 + 22h + 5h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-5 + -1h)(3 + -5h) = 0

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

Simplifying
-5 + -1h = 0

Solving
-5 + -1h = 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 + -1h = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1h = 0 + 5
-1h = 0 + 5

Combine like terms: 0 + 5 = 5
-1h = 5

Divide each side by '-1'.
h = -5

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

Simplifying
3 + -5h = 0

Solving
3 + -5h = 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 + -5h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5h = 0 + -3
-5h = 0 + -3

Combine like terms: 0 + -3 = -3
-5h = -3

Divide each side by '-5'.
h = 0.6

Simplifying
h = 0.6
Solution
h = {-5, 0.6}