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Simplifying 2w2 + 11w = -63 Reorder the terms: 11w + 2w2 = -63 Solving 11w + 2w2 = -63 Solving for variable 'w'. Reorder the terms: 63 + 11w + 2w2 = -63 + 63 Combine like terms: -63 + 63 = 0 63 + 11w + 2w2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 31.5 + 5.5w + w2 = 0 Move the constant term to the right: Add '-31.5' to each side of the equation. 31.5 + 5.5w + -31.5 + w2 = 0 + -31.5 Reorder the terms: 31.5 + -31.5 + 5.5w + w2 = 0 + -31.5 Combine like terms: 31.5 + -31.5 = 0.0 0.0 + 5.5w + w2 = 0 + -31.5 5.5w + w2 = 0 + -31.5 Combine like terms: 0 + -31.5 = -31.5 5.5w + w2 = -31.5 The w term is 5.5w. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5w + 7.5625 + w2 = -31.5 + 7.5625 Reorder the terms: 7.5625 + 5.5w + w2 = -31.5 + 7.5625 Combine like terms: -31.5 + 7.5625 = -23.9375 7.5625 + 5.5w + w2 = -23.9375 Factor a perfect square on the left side: (w + 2.75)(w + 2.75) = -23.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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