h^2-19h+78=

Solution for h^2-19h+78= equation:

Simplifying
h2 + -19h + 78 = 0

Reorder the terms:
78 + -19h + h2 = 0

Solving
78 + -19h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(6 + -1h)(13 + -1h) = 0

Subproblem 1
Set the factor '(6 + -1h)' equal to zero and attempt to solve:

Simplifying
6 + -1h = 0

Solving
6 + -1h = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1h = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1h = 0 + -6
-1h = 0 + -6

Combine like terms: 0 + -6 = -6
-1h = -6

Divide each side by '-1'.
h = 6

Simplifying
h = 6
Subproblem 2
Set the factor '(13 + -1h)' equal to zero and attempt to solve:

Simplifying
13 + -1h = 0

Solving
13 + -1h = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1h = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1h = 0 + -13
-1h = 0 + -13

Combine like terms: 0 + -13 = -13
-1h = -13

Divide each side by '-1'.
h = 13

Simplifying
h = 13
Solution
h = {6, 13}