h^2-h-50=22

Solution for h^2-h-50=22 equation:

Simplifying
h2 + -1h + -50 = 22

Reorder the terms:
-50 + -1h + h2 = 22

Solving
-50 + -1h + h2 = 22

Solving for variable 'h'.

Reorder the terms:
-50 + -22 + -1h + h2 = 22 + -22

Combine like terms: -50 + -22 = -72
-72 + -1h + h2 = 22 + -22

Combine like terms: 22 + -22 = 0
-72 + -1h + h2 = 0

Factor a trinomial.
(-8 + -1h)(9 + -1h) = 0

Subproblem 1
Set the factor '(-8 + -1h)' equal to zero and attempt to solve:

Simplifying
-8 + -1h = 0

Solving
-8 + -1h = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1h = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1h = 0 + 8
-1h = 0 + 8

Combine like terms: 0 + 8 = 8
-1h = 8

Divide each side by '-1'.
h = -8

Simplifying
h = -8
Subproblem 2
Set the factor '(9 + -1h)' equal to zero and attempt to solve:

Simplifying
9 + -1h = 0

Solving
9 + -1h = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1h = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1h = 0 + -9
-1h = 0 + -9

Combine like terms: 0 + -9 = -9
-1h = -9

Divide each side by '-1'.
h = 9

Simplifying
h = 9
Solution
h = {-8, 9}