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Simplifying 4w2 + -20w + 37 = 0 Reorder the terms: 37 + -20w + 4w2 = 0 Solving 37 + -20w + 4w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 9.25 + -5w + w2 = 0 Move the constant term to the right: Add '-9.25' to each side of the equation. 9.25 + -5w + -9.25 + w2 = 0 + -9.25 Reorder the terms: 9.25 + -9.25 + -5w + w2 = 0 + -9.25 Combine like terms: 9.25 + -9.25 = 0.00 0.00 + -5w + w2 = 0 + -9.25 -5w + w2 = 0 + -9.25 Combine like terms: 0 + -9.25 = -9.25 -5w + w2 = -9.25 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 = -9.25 + 6.25 Reorder the terms: 6.25 + -5w + w2 = -9.25 + 6.25 Combine like terms: -9.25 + 6.25 = -3 6.25 + -5w + w2 = -3 Factor a perfect square on the left side: (w + -2.5)(w + -2.5) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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