g^2-2g-120=0

Solution for g^2-2g-120=0 equation:

Simplifying
g2 + -2g + -120 = 0

Reorder the terms:
-120 + -2g + g2 = 0

Solving
-120 + -2g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-10 + -1g)(12 + -1g) = 0

Subproblem 1
Set the factor '(-10 + -1g)' equal to zero and attempt to solve:

Simplifying
-10 + -1g = 0

Solving
-10 + -1g = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1g = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1g = 0 + 10
-1g = 0 + 10

Combine like terms: 0 + 10 = 10
-1g = 10

Divide each side by '-1'.
g = -10

Simplifying
g = -10
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 = {-10, 12}