g^2+20g+96=

Solution for g^2+20g+96= equation:

Simplifying
g2 + 20g + 96 = 0

Reorder the terms:
96 + 20g + g2 = 0

Solving
96 + 20g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(12 + g)(8 + g) = 0

Subproblem 1
Set the factor '(12 + g)' equal to zero and attempt to solve:

Simplifying
12 + g = 0

Solving
12 + g = 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 + g = 0 + -12

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

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

Simplifying
g = -12
Subproblem 2
Set the factor '(8 + g)' equal to zero and attempt to solve:

Simplifying
8 + g = 0

Solving
8 + g = 0

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

Add '-8' to each side of the equation.
8 + -8 + g = 0 + -8

Combine like terms: 8 + -8 = 0
0 + g = 0 + -8
g = 0 + -8

Combine like terms: 0 + -8 = -8
g = -8

Simplifying
g = -8
Solution
g = {-12, -8}