12w^2-8w+3=0

Solution for 12w^2-8w+3=0 equation:

Simplifying
12w2 + -8w + 3 = 0

Reorder the terms:
3 + -8w + 12w2 = 0

Solving
3 + -8w + 12w2 = 0

Solving for variable 'w'.

Begin completing the square.  Divide all terms by
12 the coefficient of the squared term: 

Divide each side by '12'.
0.25 + -0.6666666667w + w2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.6666666667w + -0.25 + w2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.6666666667w + w2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.6666666667w + w2 = 0 + -0.25
-0.6666666667w + w2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.6666666667w + w2 = -0.25

The w term is -0.6666666667w.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667w + 0.1111111112 + w2 = -0.25 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667w + w2 = -0.25 + 0.1111111112

Combine like terms: -0.25 + 0.1111111112 = -0.1388888888
0.1111111112 + -0.6666666667w + w2 = -0.1388888888

Factor a perfect square on the left side:
(w + -0.3333333334)(w + -0.3333333334) = -0.1388888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.