6g^2-2g-20=0

Solution for 6g^2-2g-20=0 equation:

Simplifying
6g2 + -2g + -20 = 0

Reorder the terms:
-20 + -2g + 6g2 = 0

Solving
-20 + -2g + 6g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + -1g + 3g2) = 0

Factor a trinomial.
2((-5 + -3g)(2 + -1g)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -3g)' equal to zero and attempt to solve:

Simplifying
-5 + -3g = 0

Solving
-5 + -3g = 0

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

Add '5' to each side of the equation.
-5 + 5 + -3g = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3g = 0 + 5
-3g = 0 + 5

Combine like terms: 0 + 5 = 5
-3g = 5

Divide each side by '-3'.
g = -1.666666667

Simplifying
g = -1.666666667
Subproblem 2
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
Solution
g = {-1.666666667, 2}