4w^2-5w+9=0

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Solution for 4w^2-5w+9=0 equation:


Simplifying
4w2 + -5w + 9 = 0

Reorder the terms:
9 + -5w + 4w2 = 0

Solving
9 + -5w + 4w2 = 0

Solving for variable 'w'.

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

Divide each side by '4'.
2.25 + -1.25w + w2 = 0

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + -1.25w + -2.25 + w2 = 0 + -2.25

Reorder the terms:
2.25 + -2.25 + -1.25w + w2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + -1.25w + w2 = 0 + -2.25
-1.25w + w2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
-1.25w + w2 = -2.25

The w term is -1.25w.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25w + 0.390625 + w2 = -2.25 + 0.390625

Reorder the terms:
0.390625 + -1.25w + w2 = -2.25 + 0.390625

Combine like terms: -2.25 + 0.390625 = -1.859375
0.390625 + -1.25w + w2 = -1.859375

Factor a perfect square on the left side:
(w + -0.625)(w + -0.625) = -1.859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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