16G^2-16G+3=0

Solution for 16G^2-16G+3=0 equation:

Simplifying
16G2 + -16G + 3 = 0

Reorder the terms:
3 + -16G + 16G2 = 0

Solving
3 + -16G + 16G2 = 0

Solving for variable 'G'.

Factor a trinomial.
(1 + -4G)(3 + -4G) = 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 + -4G)' equal to zero and attempt to solve:

Simplifying
3 + -4G = 0

Solving
3 + -4G = 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 + -4G = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4G = 0 + -3
-4G = 0 + -3

Combine like terms: 0 + -3 = -3
-4G = -3

Divide each side by '-4'.
G = 0.75

Simplifying
G = 0.75
Solution
G = {0.25, 0.75}