g^2+11g=102

Solution for g^2+11g=102 equation:

Simplifying
g2 + 11g = 102

Reorder the terms:
11g + g2 = 102

Solving
11g + g2 = 102

Solving for variable 'g'.

Reorder the terms:
-102 + 11g + g2 = 102 + -102

Combine like terms: 102 + -102 = 0
-102 + 11g + g2 = 0

Factor a trinomial.
(-17 + -1g)(6 + -1g) = 0

Subproblem 1
Set the factor '(-17 + -1g)' equal to zero and attempt to solve:

Simplifying
-17 + -1g = 0

Solving
-17 + -1g = 0

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

Add '17' to each side of the equation.
-17 + 17 + -1g = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -1g = 0 + 17
-1g = 0 + 17

Combine like terms: 0 + 17 = 17
-1g = 17

Divide each side by '-1'.
g = -17

Simplifying
g = -17
Subproblem 2
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
Solution
g = {-17, 6}