5w^2-2w+9=0

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


Simplifying
5w2 + -2w + 9 = 0

Reorder the terms:
9 + -2w + 5w2 = 0

Solving
9 + -2w + 5w2 = 0

Solving for variable 'w'.

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

Divide each side by '5'.
1.8 + -0.4w + w2 = 0

Move the constant term to the right:

Add '-1.8' to each side of the equation.
1.8 + -0.4w + -1.8 + w2 = 0 + -1.8

Reorder the terms:
1.8 + -1.8 + -0.4w + w2 = 0 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.4w + w2 = 0 + -1.8
-0.4w + w2 = 0 + -1.8

Combine like terms: 0 + -1.8 = -1.8
-0.4w + w2 = -1.8

The w term is -0.4w.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4w + 0.04 + w2 = -1.8 + 0.04

Reorder the terms:
0.04 + -0.4w + w2 = -1.8 + 0.04

Combine like terms: -1.8 + 0.04 = -1.76
0.04 + -0.4w + w2 = -1.76

Factor a perfect square on the left side:
(w + -0.2)(w + -0.2) = -1.76

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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