-3w^2+4w-55=0

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Solution for -3w^2+4w-55=0 equation:


Simplifying
-3w2 + 4w + -55 = 0

Reorder the terms:
-55 + 4w + -3w2 = 0

Solving
-55 + 4w + -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'.
18.33333333 + -1.333333333w + w2 = 0

Move the constant term to the right:

Add '-18.33333333' to each side of the equation.
18.33333333 + -1.333333333w + -18.33333333 + w2 = 0 + -18.33333333

Reorder the terms:
18.33333333 + -18.33333333 + -1.333333333w + w2 = 0 + -18.33333333

Combine like terms: 18.33333333 + -18.33333333 = 0.00000000
0.00000000 + -1.333333333w + w2 = 0 + -18.33333333
-1.333333333w + w2 = 0 + -18.33333333

Combine like terms: 0 + -18.33333333 = -18.33333333
-1.333333333w + w2 = -18.33333333

The w term is -1.333333333w.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333w + 0.4444444442 + w2 = -18.33333333 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333w + w2 = -18.33333333 + 0.4444444442

Combine like terms: -18.33333333 + 0.4444444442 = -17.8888888858
0.4444444442 + -1.333333333w + w2 = -17.8888888858

Factor a perfect square on the left side:
(w + -0.6666666665)(w + -0.6666666665) = -17.8888888858

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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