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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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