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Simplifying 2w2 + -10w + 37 = 0 Reorder the terms: 37 + -10w + 2w2 = 0 Solving 37 + -10w + 2w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 18.5 + -5w + w2 = 0 Move the constant term to the right: Add '-18.5' to each side of the equation. 18.5 + -5w + -18.5 + w2 = 0 + -18.5 Reorder the terms: 18.5 + -18.5 + -5w + w2 = 0 + -18.5 Combine like terms: 18.5 + -18.5 = 0.0 0.0 + -5w + w2 = 0 + -18.5 -5w + w2 = 0 + -18.5 Combine like terms: 0 + -18.5 = -18.5 -5w + w2 = -18.5 The w term is -5w. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5w + 6.25 + w2 = -18.5 + 6.25 Reorder the terms: 6.25 + -5w + w2 = -18.5 + 6.25 Combine like terms: -18.5 + 6.25 = -12.25 6.25 + -5w + w2 = -12.25 Factor a perfect square on the left side: (w + -2.5)(w + -2.5) = -12.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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