g^2-8g-48=0

Solution for g^2-8g-48=0 equation:

Simplifying
g2 + -8g + -48 = 0

Reorder the terms:
-48 + -8g + g2 = 0

Solving
-48 + -8g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-4 + -1g)(12 + -1g) = 0

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

Simplifying
-4 + -1g = 0

Solving
-4 + -1g = 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 + -1g = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1g = 0 + 4
-1g = 0 + 4

Combine like terms: 0 + 4 = 4
-1g = 4

Divide each side by '-1'.
g = -4

Simplifying
g = -4
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 = {-4, 12}