h^2-19h-20=0

Solution for h^2-19h-20=0 equation:

Simplifying
h2 + -19h + -20 = 0

Reorder the terms:
-20 + -19h + h2 = 0

Solving
-20 + -19h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-1 + -1h)(20 + -1h) = 0

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

Simplifying
-1 + -1h = 0

Solving
-1 + -1h = 0

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

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

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

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

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

Simplifying
h = -1
Subproblem 2
Set the factor '(20 + -1h)' equal to zero and attempt to solve:

Simplifying
20 + -1h = 0

Solving
20 + -1h = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1h = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1h = 0 + -20
-1h = 0 + -20

Combine like terms: 0 + -20 = -20
-1h = -20

Divide each side by '-1'.
h = 20

Simplifying
h = 20
Solution
h = {-1, 20}