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Simplifying -2w2 + 1w + -45 = 0 Reorder the terms: -45 + 1w + -2w2 = 0 Solving -45 + 1w + -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'. 22.5 + -0.5w + w2 = 0 Move the constant term to the right: Add '-22.5' to each side of the equation. 22.5 + -0.5w + -22.5 + w2 = 0 + -22.5 Reorder the terms: 22.5 + -22.5 + -0.5w + w2 = 0 + -22.5 Combine like terms: 22.5 + -22.5 = 0.0 0.0 + -0.5w + w2 = 0 + -22.5 -0.5w + w2 = 0 + -22.5 Combine like terms: 0 + -22.5 = -22.5 -0.5w + w2 = -22.5 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 = -22.5 + 0.0625 Reorder the terms: 0.0625 + -0.5w + w2 = -22.5 + 0.0625 Combine like terms: -22.5 + 0.0625 = -22.4375 0.0625 + -0.5w + w2 = -22.4375 Factor a perfect square on the left side: (w + -0.25)(w + -0.25) = -22.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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