(9w-6-9w^2)+2w=

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Solution for (9w-6-9w^2)+2w= equation:


Simplifying
(9w + -6 + -9w2) + 2w = 0

Reorder the terms:
(-6 + 9w + -9w2) + 2w = 0

Remove parenthesis around (-6 + 9w + -9w2)
-6 + 9w + -9w2 + 2w = 0

Reorder the terms:
-6 + 9w + 2w + -9w2 = 0

Combine like terms: 9w + 2w = 11w
-6 + 11w + -9w2 = 0

Solving
-6 + 11w + -9w2 = 0

Solving for variable 'w'.

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
0.6666666667 + -1.222222222w + w2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -1.222222222w + -0.6666666667 + w2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -1.222222222w + w2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -1.222222222w + w2 = 0 + -0.6666666667
-1.222222222w + w2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-1.222222222w + w2 = -0.6666666667

The w term is -1.222222222w.  Take half its coefficient (-0.611111111).
Square it (0.3734567900) and add it to both sides.

Add '0.3734567900' to each side of the equation.
-1.222222222w + 0.3734567900 + w2 = -0.6666666667 + 0.3734567900

Reorder the terms:
0.3734567900 + -1.222222222w + w2 = -0.6666666667 + 0.3734567900

Combine like terms: -0.6666666667 + 0.3734567900 = -0.2932098767
0.3734567900 + -1.222222222w + w2 = -0.2932098767

Factor a perfect square on the left side:
(w + -0.611111111)(w + -0.611111111) = -0.2932098767

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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