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Simplifying 2w2 = w + -55 Reorder the terms: 2w2 = -55 + w Solving 2w2 = -55 + w Solving for variable 'w'. Reorder the terms: 55 + -1w + 2w2 = -55 + w + 55 + -1w Reorder the terms: 55 + -1w + 2w2 = -55 + 55 + w + -1w Combine like terms: -55 + 55 = 0 55 + -1w + 2w2 = 0 + w + -1w 55 + -1w + 2w2 = w + -1w Combine like terms: w + -1w = 0 55 + -1w + 2w2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 27.5 + -0.5w + w2 = 0 Move the constant term to the right: Add '-27.5' to each side of the equation. 27.5 + -0.5w + -27.5 + w2 = 0 + -27.5 Reorder the terms: 27.5 + -27.5 + -0.5w + w2 = 0 + -27.5 Combine like terms: 27.5 + -27.5 = 0.0 0.0 + -0.5w + w2 = 0 + -27.5 -0.5w + w2 = 0 + -27.5 Combine like terms: 0 + -27.5 = -27.5 -0.5w + w2 = -27.5 The w term is -0.5w. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5w + 0.0625 + w2 = -27.5 + 0.0625 Reorder the terms: 0.0625 + -0.5w + w2 = -27.5 + 0.0625 Combine like terms: -27.5 + 0.0625 = -27.4375 0.0625 + -0.5w + w2 = -27.4375 Factor a perfect square on the left side: (w + -0.25)(w + -0.25) = -27.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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