g^2-19g+60=0

Solution for g^2-19g+60=0 equation:

Simplifying
g2 + -19g + 60 = 0

Reorder the terms:
60 + -19g + g2 = 0

Solving
60 + -19g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(4 + -1g)(15 + -1g) = 0

Subproblem 1
Set the factor '(4 + -1g)' equal to zero and attempt to solve:

Simplifying
4 + -1g = 0

Solving
4 + -1g = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1g = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1g = 0 + -4
-1g = 0 + -4

Combine like terms: 0 + -4 = -4
-1g = -4

Divide each side by '-1'.
g = 4

Simplifying
g = 4
Subproblem 2
Set the factor '(15 + -1g)' equal to zero and attempt to solve:

Simplifying
15 + -1g = 0

Solving
15 + -1g = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1g = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1g = 0 + -15
-1g = 0 + -15

Combine like terms: 0 + -15 = -15
-1g = -15

Divide each side by '-1'.
g = 15

Simplifying
g = 15
Solution
g = {4, 15}