3g^2-7g-6=0

Solution for 3g^2-7g-6=0 equation:

Simplifying
3g2 + -7g + -6 = 0

Reorder the terms:
-6 + -7g + 3g2 = 0

Solving
-6 + -7g + 3g2 = 0

Solving for variable 'g'.

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

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

Simplifying
3 + -1g = 0

Solving
3 + -1g = 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 + -1g = 0 + -3

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

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

Divide each side by '-1'.
g = 3

Simplifying
g = 3
Solution
g = {-0.6666666667, 3}