8h^2-22h+15=0

Solution for 8h^2-22h+15=0 equation:

Simplifying
8h2 + -22h + 15 = 0

Reorder the terms:
15 + -22h + 8h2 = 0

Solving
15 + -22h + 8h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(5 + -4h)(3 + -2h) = 0

Subproblem 1
Set the factor '(5 + -4h)' equal to zero and attempt to solve:

Simplifying
5 + -4h = 0

Solving
5 + -4h = 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 + -4h = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4h = 0 + -5
-4h = 0 + -5

Combine like terms: 0 + -5 = -5
-4h = -5

Divide each side by '-4'.
h = 1.25

Simplifying
h = 1.25
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 = {1.25, 1.5}