6g^2+g-2=0

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

Simplifying
6g2 + g + -2 = 0

Reorder the terms:
-2 + g + 6g2 = 0

Solving
-2 + g + 6g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-2 + -3g)(1 + -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 '(1 + -2g)' equal to zero and attempt to solve:

Simplifying
1 + -2g = 0

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

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

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

Divide each side by '-2'.
g = 0.5

Simplifying
g = 0.5
Solution
g = {-0.6666666667, 0.5}