6g^2+64g-22=0

Solution for 6g^2+64g-22=0 equation:

Simplifying
6g2 + 64g + -22 = 0

Reorder the terms:
-22 + 64g + 6g2 = 0

Solving
-22 + 64g + 6g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-11 + 32g + 3g2) = 0

Factor a trinomial.
2((-11 + -1g)(1 + -3g)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-11 + -1g)' equal to zero and attempt to solve:

Simplifying
-11 + -1g = 0

Solving
-11 + -1g = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1g = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1g = 0 + 11
-1g = 0 + 11

Combine like terms: 0 + 11 = 11
-1g = 11

Divide each side by '-1'.
g = -11

Simplifying
g = -11
Subproblem 2
Set the factor '(1 + -3g)' equal to zero and attempt to solve:

Simplifying
1 + -3g = 0

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

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

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

Divide each side by '-3'.
g = 0.3333333333

Simplifying
g = 0.3333333333
Solution
g = {-11, 0.3333333333}