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Simplifying 2w2 + w + 43 + -1w2 + 10w + 25 = 0 Reorder the terms: 43 + 25 + w + 10w + 2w2 + -1w2 = 0 Combine like terms: 43 + 25 = 68 68 + w + 10w + 2w2 + -1w2 = 0 Combine like terms: w + 10w = 11w 68 + 11w + 2w2 + -1w2 = 0 Combine like terms: 2w2 + -1w2 = 1w2 68 + 11w + 1w2 = 0 Solving 68 + 11w + 1w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-68' to each side of the equation. 68 + 11w + -68 + w2 = 0 + -68 Reorder the terms: 68 + -68 + 11w + w2 = 0 + -68 Combine like terms: 68 + -68 = 0 0 + 11w + w2 = 0 + -68 11w + w2 = 0 + -68 Combine like terms: 0 + -68 = -68 11w + w2 = -68 The w term is 11w. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11w + 30.25 + w2 = -68 + 30.25 Reorder the terms: 30.25 + 11w + w2 = -68 + 30.25 Combine like terms: -68 + 30.25 = -37.75 30.25 + 11w + w2 = -37.75 Factor a perfect square on the left side: (w + 5.5)(w + 5.5) = -37.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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