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Simplifying 9w + 9w2 + 14 = 0 Reorder the terms: 14 + 9w + 9w2 = 0 Solving 14 + 9w + 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'. 1.555555556 + w + w2 = 0 Move the constant term to the right: Add '-1.555555556' to each side of the equation. 1.555555556 + w + -1.555555556 + w2 = 0 + -1.555555556 Reorder the terms: 1.555555556 + -1.555555556 + w + w2 = 0 + -1.555555556 Combine like terms: 1.555555556 + -1.555555556 = 0.000000000 0.000000000 + w + w2 = 0 + -1.555555556 w + w2 = 0 + -1.555555556 Combine like terms: 0 + -1.555555556 = -1.555555556 w + w2 = -1.555555556 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. + 0.25 + w2 = -1.555555556 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + w2 = -1.555555556 + 0.25 Combine like terms: -1.555555556 + 0.25 = -1.305555556 1.25 + w2 = -1.305555556 Factor a perfect square on the left side: (w + 0.5)(w + 0.5) = -1.305555556 Can't calculate square root of the right side. The solution to this equation could not be determined.
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