9g^2-3g-2=0

Solution for 9g^2-3g-2=0 equation:

Simplifying
9g2 + -3g + -2 = 0

Reorder the terms:
-2 + -3g + 9g2 = 0

Solving
-2 + -3g + 9g2 = 0

Solving for variable 'g'.

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

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

Simplifying
-1 + -3g = 0

Solving
-1 + -3g = 0

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

Add '1' to each side of the equation.
-1 + 1 + -3g = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3g = 0 + 1
-3g = 0 + 1

Combine like terms: 0 + 1 = 1
-3g = 1

Divide each side by '-3'.
g = -0.3333333333

Simplifying
g = -0.3333333333
Subproblem 2
Set the factor '(2 + -3g)' equal to zero and attempt to solve:

Simplifying
2 + -3g = 0

Solving
2 + -3g = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3g = 0 + -2

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

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

Divide each side by '-3'.
g = 0.6666666667

Simplifying
g = 0.6666666667
Solution
g = {-0.3333333333, 0.6666666667}