h^2-13h-90=0

Solution for h^2-13h-90=0 equation:

Simplifying
h2 + -13h + -90 = 0

Reorder the terms:
-90 + -13h + h2 = 0

Solving
-90 + -13h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-5 + -1h)(18 + -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 '(18 + -1h)' equal to zero and attempt to solve:

Simplifying
18 + -1h = 0

Solving
18 + -1h = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1h = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1h = 0 + -18
-1h = 0 + -18

Combine like terms: 0 + -18 = -18
-1h = -18

Divide each side by '-1'.
h = 18

Simplifying
h = 18
Solution
h = {-5, 18}