3w^2-5w+4=0

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Solution for 3w^2-5w+4=0 equation:


Simplifying
3w2 + -5w + 4 = 0

Reorder the terms:
4 + -5w + 3w2 = 0

Solving
4 + -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'.
1.333333333 + -1.666666667w + w2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -1.666666667w + -1.333333333 + w2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -1.666666667w + w2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -1.666666667w + w2 = 0 + -1.333333333
-1.666666667w + w2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-1.666666667w + w2 = -1.333333333

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 = -1.333333333 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667w + w2 = -1.333333333 + 0.6944444447

Combine like terms: -1.333333333 + 0.6944444447 = -0.6388888883
0.6944444447 + -1.666666667w + w2 = -0.6388888883

Factor a perfect square on the left side:
(w + -0.8333333335)(w + -0.8333333335) = -0.6388888883

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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