4g^2-10g+6=0

Solution for 4g^2-10g+6=0 equation:

Simplifying
4g2 + -10g + 6 = 0

Reorder the terms:
6 + -10g + 4g2 = 0

Solving
6 + -10g + 4g2 = 0

Solving for variable 'g'.

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

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

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

Simplifying
1 + -1g = 0

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

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

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

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

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

Simplifying
3 + -2g = 0

Solving
3 + -2g = 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 + -2g = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2g = 0 + -3
-2g = 0 + -3

Combine like terms: 0 + -3 = -3
-2g = -3

Divide each side by '-2'.
g = 1.5

Simplifying
g = 1.5
Solution
g = {1, 1.5}