5h^2+8h-85=0

Solution for 5h^2+8h-85=0 equation:

Simplifying
5h2 + 8h + -85 = 0

Reorder the terms:
-85 + 8h + 5h2 = 0

Solving
-85 + 8h + 5h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-5 + -1h)(17 + -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 '(17 + -5h)' equal to zero and attempt to solve:

Simplifying
17 + -5h = 0

Solving
17 + -5h = 0

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

Add '-17' to each side of the equation.
17 + -17 + -5h = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -5h = 0 + -17
-5h = 0 + -17

Combine like terms: 0 + -17 = -17
-5h = -17

Divide each side by '-5'.
h = 3.4

Simplifying
h = 3.4
Solution
h = {-5, 3.4}