-3w^2+7w-66=0

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Solution for -3w^2+7w-66=0 equation:


Simplifying
-3w2 + 7w + -66 = 0

Reorder the terms:
-66 + 7w + -3w2 = 0

Solving
-66 + 7w + -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'.
22 + -2.333333333w + w2 = 0

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + -2.333333333w + -22 + w2 = 0 + -22

Reorder the terms:
22 + -22 + -2.333333333w + w2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -2.333333333w + w2 = 0 + -22
-2.333333333w + w2 = 0 + -22

Combine like terms: 0 + -22 = -22
-2.333333333w + w2 = -22

The w term is -2.333333333w.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333w + 1.361111112 + w2 = -22 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333w + w2 = -22 + 1.361111112

Combine like terms: -22 + 1.361111112 = -20.638888888
1.361111112 + -2.333333333w + w2 = -20.638888888

Factor a perfect square on the left side:
(w + -1.166666667)(w + -1.166666667) = -20.638888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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