3w^2-5w+6=0

Solution for 3w^2-5w+6=0 equation:

Simplifying
3w2 + -5w + 6 = 0

Reorder the terms:
6 + -5w + 3w2 = 0

Solving
6 + -5w + 3w2 = 0

Solving for variable 'w'.

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

Divide each side by '3'.
2 + -1.666666667w + w2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1.666666667w + -2 + w2 = 0 + -2

Reorder the terms:
2 + -2 + -1.666666667w + w2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1.666666667w + w2 = 0 + -2
-1.666666667w + w2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1.666666667w + w2 = -2

The w term is -1.666666667w.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667w + 0.6944444447 + w2 = -2 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667w + w2 = -2 + 0.6944444447

Combine like terms: -2 + 0.6944444447 = -1.3055555553
0.6944444447 + -1.666666667w + w2 = -1.3055555553

Factor a perfect square on the left side:
(w + -0.8333333335)(w + -0.8333333335) = -1.3055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.