g^2+11g-152=0

Solution for g^2+11g-152=0 equation:

Simplifying
g2 + 11g + -152 = 0

Reorder the terms:
-152 + 11g + g2 = 0

Solving
-152 + 11g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-19 + -1g)(8 + -1g) = 0

Subproblem 1
Set the factor '(-19 + -1g)' equal to zero and attempt to solve:

Simplifying
-19 + -1g = 0

Solving
-19 + -1g = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1g = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -1g = 0 + 19
-1g = 0 + 19

Combine like terms: 0 + 19 = 19
-1g = 19

Divide each side by '-1'.
g = -19

Simplifying
g = -19
Subproblem 2
Set the factor '(8 + -1g)' equal to zero and attempt to solve:

Simplifying
8 + -1g = 0

Solving
8 + -1g = 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 + -1g = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1g = 0 + -8
-1g = 0 + -8

Combine like terms: 0 + -8 = -8
-1g = -8

Divide each side by '-1'.
g = 8

Simplifying
g = 8
Solution
g = {-19, 8}