-10g^2+32g-6=0

Solution for -10g^2+32g-6=0 equation:

Simplifying
-10g2 + 32g + -6 = 0

Reorder the terms:
-6 + 32g + -10g2 = 0

Solving
-6 + 32g + -10g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 16g + -5g2) = 0

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

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

Simplifying
-3 + g = 0

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

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

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

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

Simplifying
1 + -5g = 0

Solving
1 + -5g = 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 + -5g = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5g = 0 + -1
-5g = 0 + -1

Combine like terms: 0 + -1 = -1
-5g = -1

Divide each side by '-5'.
g = 0.2

Simplifying
g = 0.2
Solution
g = {3, 0.2}