6g^2-13g+6=0

Solution for 6g^2-13g+6=0 equation:

Simplifying
6g2 + -13g + 6 = 0

Reorder the terms:
6 + -13g + 6g2 = 0

Solving
6 + -13g + 6g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(2 + -3g)(3 + -2g) = 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 + -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 = {0.6666666667, 1.5}