g^2=-18-9g

Solution for g^2=-18-9g equation:

Simplifying
g2 = -18 + -9g

Solving
g2 = -18 + -9g

Solving for variable 'g'.

Reorder the terms:
18 + 9g + g2 = -18 + -9g + 18 + 9g

Reorder the terms:
18 + 9g + g2 = -18 + 18 + -9g + 9g

Combine like terms: -18 + 18 = 0
18 + 9g + g2 = 0 + -9g + 9g
18 + 9g + g2 = -9g + 9g

Combine like terms: -9g + 9g = 0
18 + 9g + g2 = 0

Factor a trinomial.
(6 + g)(3 + g) = 0

Subproblem 1
Set the factor '(6 + g)' equal to zero and attempt to solve:

Simplifying
6 + g = 0

Solving
6 + g = 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 + g = 0 + -6

Combine like terms: 6 + -6 = 0
0 + g = 0 + -6
g = 0 + -6

Combine like terms: 0 + -6 = -6
g = -6

Simplifying
g = -6
Subproblem 2
Set the factor '(3 + g)' equal to zero and attempt to solve:

Simplifying
3 + g = 0

Solving
3 + g = 0

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

Add '-3' to each side of the equation.
3 + -3 + g = 0 + -3

Combine like terms: 3 + -3 = 0
0 + g = 0 + -3
g = 0 + -3

Combine like terms: 0 + -3 = -3
g = -3

Simplifying
g = -3
Solution
g = {-6, -3}