h^2-9h-22=0

Solution for h^2-9h-22=0 equation:

Simplifying
h2 + -9h + -22 = 0

Reorder the terms:
-22 + -9h + h2 = 0

Solving
-22 + -9h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-2 + -1h)(11 + -1h) = 0

Subproblem 1
Set the factor '(-2 + -1h)' equal to zero and attempt to solve:

Simplifying
-2 + -1h = 0

Solving
-2 + -1h = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1h = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1h = 0 + 2
-1h = 0 + 2

Combine like terms: 0 + 2 = 2
-1h = 2

Divide each side by '-1'.
h = -2

Simplifying
h = -2
Subproblem 2
Set the factor '(11 + -1h)' equal to zero and attempt to solve:

Simplifying
11 + -1h = 0

Solving
11 + -1h = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1h = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1h = 0 + -11
-1h = 0 + -11

Combine like terms: 0 + -11 = -11
-1h = -11

Divide each side by '-1'.
h = 11

Simplifying
h = 11
Solution
h = {-2, 11}