h^2-19h+18=0

Solution for h^2-19h+18=0 equation:

Simplifying
h2 + -19h + 18 = 0

Reorder the terms:
18 + -19h + h2 = 0

Solving
18 + -19h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(1 + -1h)(18 + -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 '(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 = {1, 18}