3g^2-7g+2=0

Solution for 3g^2-7g+2=0 equation:

Simplifying
3g2 + -7g + 2 = 0

Reorder the terms:
2 + -7g + 3g2 = 0

Solving
2 + -7g + 3g2 = 0

Solving for variable 'g'.

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

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

Simplifying
1 + -3g = 0

Solving
1 + -3g = 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 + -3g = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3g = 0 + -1
-3g = 0 + -1

Combine like terms: 0 + -1 = -1
-3g = -1

Divide each side by '-3'.
g = 0.3333333333

Simplifying
g = 0.3333333333
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 = {0.3333333333, 2}