h^2-17h=-60

Solution for h^2-17h=-60 equation:

Simplifying
h2 + -17h = -60

Reorder the terms:
-17h + h2 = -60

Solving
-17h + h2 = -60

Solving for variable 'h'.

Reorder the terms:
60 + -17h + h2 = -60 + 60

Combine like terms: -60 + 60 = 0
60 + -17h + h2 = 0

Factor a trinomial.
(5 + -1h)(12 + -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 '(12 + -1h)' equal to zero and attempt to solve:

Simplifying
12 + -1h = 0

Solving
12 + -1h = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1h = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1h = 0 + -12
-1h = 0 + -12

Combine like terms: 0 + -12 = -12
-1h = -12

Divide each side by '-1'.
h = 12

Simplifying
h = 12
Solution
h = {5, 12}