h^2+20h+19=0

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

Simplifying
h2 + 20h + 19 = 0

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

Solving
19 + 20h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(19 + h)(1 + h) = 0

Subproblem 1
Set the factor '(19 + h)' equal to zero and attempt to solve:

Simplifying
19 + h = 0

Solving
19 + h = 0

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

Add '-19' to each side of the equation.
19 + -19 + h = 0 + -19

Combine like terms: 19 + -19 = 0
0 + h = 0 + -19
h = 0 + -19

Combine like terms: 0 + -19 = -19
h = -19

Simplifying
h = -19
Subproblem 2
Set the factor '(1 + h)' equal to zero and attempt to solve:

Simplifying
1 + h = 0

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

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

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

Simplifying
h = -1
Solution
h = {-19, -1}