9g^2+15g-6=

Solution for 9g^2+15g-6= equation:

Simplifying
9g2 + 15g + -6 = 0

Reorder the terms:
-6 + 15g + 9g2 = 0

Solving
-6 + 15g + 9g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + 5g + 3g2) = 0

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

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

Simplifying
-2 + -1g = 0

Solving
-2 + -1g = 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 + -1g = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1g = 0 + 2
-1g = 0 + 2

Combine like terms: 0 + 2 = 2
-1g = 2

Divide each side by '-1'.
g = -2

Simplifying
g = -2
Subproblem 2
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
Solution
g = {-2, 0.3333333333}