g^2-17g+60=0

Solution for g^2-17g+60=0 equation:

Simplifying
g2 + -17g + 60 = 0

Reorder the terms:
60 + -17g + g2 = 0

Solving
60 + -17g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(5 + -1g)(12 + -1g) = 0

Subproblem 1
Set the factor '(5 + -1g)' equal to zero and attempt to solve:

Simplifying
5 + -1g = 0

Solving
5 + -1g = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1g = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1g = 0 + -5
-1g = 0 + -5

Combine like terms: 0 + -5 = -5
-1g = -5

Divide each side by '-1'.
g = 5

Simplifying
g = 5
Subproblem 2
Set the factor '(12 + -1g)' equal to zero and attempt to solve:

Simplifying
12 + -1g = 0

Solving
12 + -1g = 0

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

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

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

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

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

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