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Simplifying 2 + -1w2 + w + -66 = 0 Reorder the terms: 2 + -66 + w + -1w2 = 0 Combine like terms: 2 + -66 = -64 -64 + w + -1w2 = 0 Solving -64 + w + -1w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 64 + -1w + w2 = 0 Move the constant term to the right: Add '-64' to each side of the equation. 64 + -1w + -64 + w2 = 0 + -64 Reorder the terms: 64 + -64 + -1w + w2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -1w + w2 = 0 + -64 -1w + w2 = 0 + -64 Combine like terms: 0 + -64 = -64 -1w + w2 = -64 The w term is w. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1w + 0.25 + w2 = -64 + 0.25 Reorder the terms: 0.25 + -1w + w2 = -64 + 0.25 Combine like terms: -64 + 0.25 = -63.75 0.25 + -1w + w2 = -63.75 Factor a perfect square on the left side: (w + 0.5)(w + 0.5) = -63.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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