8g^2-14g+3=0

Solution for 8g^2-14g+3=0 equation:

Simplifying
8g2 + -14g + 3 = 0

Reorder the terms:
3 + -14g + 8g2 = 0

Solving
3 + -14g + 8g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(1 + -4g)(3 + -2g) = 0

Subproblem 1
Set the factor '(1 + -4g)' equal to zero and attempt to solve:

Simplifying
1 + -4g = 0

Solving
1 + -4g = 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 + -4g = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4g = 0 + -1
-4g = 0 + -1

Combine like terms: 0 + -1 = -1
-4g = -1

Divide each side by '-4'.
g = 0.25

Simplifying
g = 0.25
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 = {0.25, 1.5}