g^2-5g-150=

Solution for g^2-5g-150= equation:

Simplifying
g2 + -5g + -150 = 0

Reorder the terms:
-150 + -5g + g2 = 0

Solving
-150 + -5g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-10 + -1g)(15 + -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 '(15 + -1g)' equal to zero and attempt to solve:

Simplifying
15 + -1g = 0

Solving
15 + -1g = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1g = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1g = 0 + -15
-1g = 0 + -15

Combine like terms: 0 + -15 = -15
-1g = -15

Divide each side by '-1'.
g = 15

Simplifying
g = 15
Solution
g = {-10, 15}