h^2-22h+85=0

Solution for h^2-22h+85=0 equation:

Simplifying
h2 + -22h + 85 = 0

Reorder the terms:
85 + -22h + h2 = 0

Solving
85 + -22h + h2 = 0

Solving for variable 'h'.

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

Simplifying
17 + -1h = 0

Solving
17 + -1h = 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 + -1h = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1h = 0 + -17
-1h = 0 + -17

Combine like terms: 0 + -17 = -17
-1h = -17

Divide each side by '-1'.
h = 17

Simplifying
h = 17
Solution
h = {5, 17}