-9=2g^2+9g

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

Simplifying
-9 = 2g2 + 9g

Reorder the terms:
-9 = 9g + 2g2

Solving
-9 = 9g + 2g2

Solving for variable 'g'.

Reorder the terms:
-9 + -9g + -2g2 = 9g + -9g + 2g2 + -2g2

Combine like terms: 9g + -9g = 0
-9 + -9g + -2g2 = 0 + 2g2 + -2g2
-9 + -9g + -2g2 = 2g2 + -2g2

Combine like terms: 2g2 + -2g2 = 0
-9 + -9g + -2g2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + 9g + 2g2) = 0

Factor a trinomial.
-1((3 + g)(3 + 2g)) = 0

Ignore the factor -1.
Subproblem 1
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
Subproblem 2
Set the factor '(3 + 2g)' equal to zero and attempt to solve:

Simplifying
3 + 2g = 0

Solving
3 + 2g = 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 + 2g = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2g = 0 + -3
2g = 0 + -3

Combine like terms: 0 + -3 = -3
2g = -3

Divide each side by '2'.
g = -1.5

Simplifying
g = -1.5
Solution
g = {-3, -1.5}