60=4g+8g^2

Solution for 60=4g+8g^2 equation:

Simplifying
60 = 4g + 8g2

Solving
60 = 4g + 8g2

Solving for variable 'g'.

Reorder the terms:
60 + -4g + -8g2 = 4g + -4g + 8g2 + -8g2

Combine like terms: 4g + -4g = 0
60 + -4g + -8g2 = 0 + 8g2 + -8g2
60 + -4g + -8g2 = 8g2 + -8g2

Combine like terms: 8g2 + -8g2 = 0
60 + -4g + -8g2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(15 + -1g + -2g2) = 0

Factor a trinomial.
4((5 + -2g)(3 + g)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(5 + -2g)' equal to zero and attempt to solve:

Simplifying
5 + -2g = 0

Solving
5 + -2g = 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 + -2g = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2g = 0 + -5
-2g = 0 + -5

Combine like terms: 0 + -5 = -5
-2g = -5

Divide each side by '-2'.
g = 2.5

Simplifying
g = 2.5
Subproblem 2
Set the factor '(3 + g)' equal to zero and attempt to solve:

Simplifying
3 + g = 0

Solving
3 + g = 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 + g = 0 + -3

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

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

Simplifying
g = -3
Solution
g = {2.5, -3}