8g^2-6g+1=0

Solution for 8g^2-6g+1=0 equation:

Simplifying
8g2 + -6g + 1 = 0

Reorder the terms:
1 + -6g + 8g2 = 0

Solving
1 + -6g + 8g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(1 + -4g)(1 + -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 '(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
Solution
g = {0.25, 0.5}