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Simplifying 2w2 + 9w + 35 = 0 Reorder the terms: 35 + 9w + 2w2 = 0 Solving 35 + 9w + 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'. 17.5 + 4.5w + w2 = 0 Move the constant term to the right: Add '-17.5' to each side of the equation. 17.5 + 4.5w + -17.5 + w2 = 0 + -17.5 Reorder the terms: 17.5 + -17.5 + 4.5w + w2 = 0 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + 4.5w + w2 = 0 + -17.5 4.5w + w2 = 0 + -17.5 Combine like terms: 0 + -17.5 = -17.5 4.5w + w2 = -17.5 The w term is 4.5w. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5w + 5.0625 + w2 = -17.5 + 5.0625 Reorder the terms: 5.0625 + 4.5w + w2 = -17.5 + 5.0625 Combine like terms: -17.5 + 5.0625 = -12.4375 5.0625 + 4.5w + w2 = -12.4375 Factor a perfect square on the left side: (w + 2.25)(w + 2.25) = -12.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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