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Simplifying 2w2 + -8w + 42 + -1w2 + 7w + -14 = 0 Reorder the terms: 42 + -14 + -8w + 7w + 2w2 + -1w2 = 0 Combine like terms: 42 + -14 = 28 28 + -8w + 7w + 2w2 + -1w2 = 0 Combine like terms: -8w + 7w = -1w 28 + -1w + 2w2 + -1w2 = 0 Combine like terms: 2w2 + -1w2 = 1w2 28 + -1w + 1w2 = 0 Solving 28 + -1w + 1w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + -1w + -28 + w2 = 0 + -28 Reorder the terms: 28 + -28 + -1w + w2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1w + w2 = 0 + -28 -1w + w2 = 0 + -28 Combine like terms: 0 + -28 = -28 -1w + w2 = -28 The w term is -1w. 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. -1w + 0.25 + w2 = -28 + 0.25 Reorder the terms: 0.25 + -1w + w2 = -28 + 0.25 Combine like terms: -28 + 0.25 = -27.75 0.25 + -1w + w2 = -27.75 Factor a perfect square on the left side: (w + -0.5)(w + -0.5) = -27.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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