G^2-3G-108=0

Solution for G^2-3G-108=0 equation:

Simplifying
G2 + -3G + -108 = 0

Reorder the terms:
-108 + -3G + G2 = 0

Solving
-108 + -3G + G2 = 0

Solving for variable 'G'.

Factor a trinomial.
(-9 + -1G)(12 + -1G) = 0

Subproblem 1
Set the factor '(-9 + -1G)' equal to zero and attempt to solve:

Simplifying
-9 + -1G = 0

Solving
-9 + -1G = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1G = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1G = 0 + 9
-1G = 0 + 9

Combine like terms: 0 + 9 = 9
-1G = 9

Divide each side by '-1'.
G = -9

Simplifying
G = -9
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 = {-9, 12}