g^2+12g+9=-26

Solution for g^2+12g+9=-26 equation:

Simplifying
g2 + 12g + 9 = -26

Reorder the terms:
9 + 12g + g2 = -26

Solving
9 + 12g + g2 = -26

Solving for variable 'g'.

Reorder the terms:
9 + 26 + 12g + g2 = -26 + 26

Combine like terms: 9 + 26 = 35
35 + 12g + g2 = -26 + 26

Combine like terms: -26 + 26 = 0
35 + 12g + g2 = 0

Factor a trinomial.
(7 + g)(5 + g) = 0

Subproblem 1
Set the factor '(7 + g)' equal to zero and attempt to solve:

Simplifying
7 + g = 0

Solving
7 + g = 0

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

Add '-7' to each side of the equation.
7 + -7 + g = 0 + -7

Combine like terms: 7 + -7 = 0
0 + g = 0 + -7
g = 0 + -7

Combine like terms: 0 + -7 = -7
g = -7

Simplifying
g = -7
Subproblem 2
Set the factor '(5 + g)' equal to zero and attempt to solve:

Simplifying
5 + g = 0

Solving
5 + g = 0

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

Add '-5' to each side of the equation.
5 + -5 + g = 0 + -5

Combine like terms: 5 + -5 = 0
0 + g = 0 + -5
g = 0 + -5

Combine like terms: 0 + -5 = -5
g = -5

Simplifying
g = -5
Solution
g = {-7, -5}