12g^2+56g-96=0

Solution for 12g^2+56g-96=0 equation:

Simplifying
12g2 + 56g + -96 = 0

Reorder the terms:
-96 + 56g + 12g2 = 0

Solving
-96 + 56g + 12g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-24 + 14g + 3g2) = 0

Factor a trinomial.
4((-6 + -1g)(4 + -3g)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-6 + -1g)' equal to zero and attempt to solve:

Simplifying
-6 + -1g = 0

Solving
-6 + -1g = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1g = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1g = 0 + 6
-1g = 0 + 6

Combine like terms: 0 + 6 = 6
-1g = 6

Divide each side by '-1'.
g = -6

Simplifying
g = -6
Subproblem 2
Set the factor '(4 + -3g)' equal to zero and attempt to solve:

Simplifying
4 + -3g = 0

Solving
4 + -3g = 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 + -3g = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3g = 0 + -4
-3g = 0 + -4

Combine like terms: 0 + -4 = -4
-3g = -4

Divide each side by '-3'.
g = 1.333333333

Simplifying
g = 1.333333333
Solution
g = {-6, 1.333333333}