7g^2-17g+6=0

Solution for 7g^2-17g+6=0 equation:

Simplifying
7g2 + -17g + 6 = 0

Reorder the terms:
6 + -17g + 7g2 = 0

Solving
6 + -17g + 7g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(3 + -7g)(2 + -1g) = 0

Subproblem 1
Set the factor '(3 + -7g)' equal to zero and attempt to solve:

Simplifying
3 + -7g = 0

Solving
3 + -7g = 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 + -7g = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7g = 0 + -3
-7g = 0 + -3

Combine like terms: 0 + -3 = -3
-7g = -3

Divide each side by '-7'.
g = 0.4285714286

Simplifying
g = 0.4285714286
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 = {0.4285714286, 2}