2-w^2+w-66=0

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Solution for 2-w^2+w-66=0 equation:


Simplifying
2 + -1w2 + w + -66 = 0

Reorder the terms:
2 + -66 + w + -1w2 = 0

Combine like terms: 2 + -66 = -64
-64 + w + -1w2 = 0

Solving
-64 + w + -1w2 = 0

Solving for variable 'w'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
64 + -1w + w2 = 0

Move the constant term to the right:

Add '-64' to each side of the equation.
64 + -1w + -64 + w2 = 0 + -64

Reorder the terms:
64 + -64 + -1w + w2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -1w + w2 = 0 + -64
-1w + w2 = 0 + -64

Combine like terms: 0 + -64 = -64
-1w + w2 = -64

The w term is w.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1w + 0.25 + w2 = -64 + 0.25

Reorder the terms:
0.25 + -1w + w2 = -64 + 0.25

Combine like terms: -64 + 0.25 = -63.75
0.25 + -1w + w2 = -63.75

Factor a perfect square on the left side:
(w + 0.5)(w + 0.5) = -63.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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