2g^2-35g+17=0

Solution for 2g^2-35g+17=0 equation:

Simplifying
2g2 + -35g + 17 = 0

Reorder the terms:
17 + -35g + 2g2 = 0

Solving
17 + -35g + 2g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(1 + -2g)(17 + -1g) = 0

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

Simplifying
1 + -2g = 0

Solving
1 + -2g = 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 + -2g = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2g = 0 + -1
-2g = 0 + -1

Combine like terms: 0 + -1 = -1
-2g = -1

Divide each side by '-2'.
g = 0.5

Simplifying
g = 0.5
Subproblem 2
Set the factor '(17 + -1g)' equal to zero and attempt to solve:

Simplifying
17 + -1g = 0

Solving
17 + -1g = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1g = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1g = 0 + -17
-1g = 0 + -17

Combine like terms: 0 + -17 = -17
-1g = -17

Divide each side by '-1'.
g = 17

Simplifying
g = 17
Solution
g = {0.5, 17}