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Simplifying 2w2 = 4w + -35 Reorder the terms: 2w2 = -35 + 4w Solving 2w2 = -35 + 4w Solving for variable 'w'. Reorder the terms: 35 + -4w + 2w2 = -35 + 4w + 35 + -4w Reorder the terms: 35 + -4w + 2w2 = -35 + 35 + 4w + -4w Combine like terms: -35 + 35 = 0 35 + -4w + 2w2 = 0 + 4w + -4w 35 + -4w + 2w2 = 4w + -4w Combine like terms: 4w + -4w = 0 35 + -4w + 2w2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 17.5 + -2w + w2 = 0 Move the constant term to the right: Add '-17.5' to each side of the equation. 17.5 + -2w + -17.5 + w2 = 0 + -17.5 Reorder the terms: 17.5 + -17.5 + -2w + w2 = 0 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + -2w + w2 = 0 + -17.5 -2w + w2 = 0 + -17.5 Combine like terms: 0 + -17.5 = -17.5 -2w + w2 = -17.5 The w term is -2w. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2w + 1 + w2 = -17.5 + 1 Reorder the terms: 1 + -2w + w2 = -17.5 + 1 Combine like terms: -17.5 + 1 = -16.5 1 + -2w + w2 = -16.5 Factor a perfect square on the left side: (w + -1)(w + -1) = -16.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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