2g^2-9g+7=0

Solution for 2g^2-9g+7=0 equation:

Simplifying
2g2 + -9g + 7 = 0

Reorder the terms:
7 + -9g + 2g2 = 0

Solving
7 + -9g + 2g2 = 0

Solving for variable 'g'.

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

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 '(7 + -2g)' equal to zero and attempt to solve:

Simplifying
7 + -2g = 0

Solving
7 + -2g = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2g = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2g = 0 + -7
-2g = 0 + -7

Combine like terms: 0 + -7 = -7
-2g = -7

Divide each side by '-2'.
g = 3.5

Simplifying
g = 3.5
Solution
g = {1, 3.5}