6g^2-35g-6=0

Solution for 6g^2-35g-6=0 equation:

Simplifying
6g2 + -35g + -6 = 0

Reorder the terms:
-6 + -35g + 6g2 = 0

Solving
-6 + -35g + 6g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-1 + -6g)(6 + -1g) = 0

Subproblem 1
Set the factor '(-1 + -6g)' equal to zero and attempt to solve:

Simplifying
-1 + -6g = 0

Solving
-1 + -6g = 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 + -6g = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -6g = 0 + 1
-6g = 0 + 1

Combine like terms: 0 + 1 = 1
-6g = 1

Divide each side by '-6'.
g = -0.1666666667

Simplifying
g = -0.1666666667
Subproblem 2
Set the factor '(6 + -1g)' equal to zero and attempt to solve:

Simplifying
6 + -1g = 0

Solving
6 + -1g = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1g = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1g = 0 + -6
-1g = 0 + -6

Combine like terms: 0 + -6 = -6
-1g = -6

Divide each side by '-1'.
g = 6

Simplifying
g = 6
Solution
g = {-0.1666666667, 6}