4g^2-32g+60=0

Solution for 4g^2-32g+60=0 equation:

Simplifying
4g2 + -32g + 60 = 0

Reorder the terms:
60 + -32g + 4g2 = 0

Solving
60 + -32g + 4g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '4'.
4(15 + -8g + g2) = 0

Factor a trinomial.
4((3 + -1g)(5 + -1g)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(3 + -1g)' equal to zero and attempt to solve:

Simplifying
3 + -1g = 0

Solving
3 + -1g = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1g = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1g = 0 + -3
-1g = 0 + -3

Combine like terms: 0 + -3 = -3
-1g = -3

Divide each side by '-1'.
g = 3

Simplifying
g = 3
Subproblem 2
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
Solution
g = {3, 5}