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Simplifying 10.62w2 + -18w + 13754.37 = 0 Reorder the terms: 13754.37 + -18w + 10.62w2 = 0 Solving 13754.37 + -18w + 10.62w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 10.62 the coefficient of the squared term: Divide each side by '10.62'. 1295.138418 + -1.694915254w + w2 = 0 Move the constant term to the right: Add '-1295.138418' to each side of the equation. 1295.138418 + -1.694915254w + -1295.138418 + w2 = 0 + -1295.138418 Reorder the terms: 1295.138418 + -1295.138418 + -1.694915254w + w2 = 0 + -1295.138418 Combine like terms: 1295.138418 + -1295.138418 = 0.000000 0.000000 + -1.694915254w + w2 = 0 + -1295.138418 -1.694915254w + w2 = 0 + -1295.138418 Combine like terms: 0 + -1295.138418 = -1295.138418 -1.694915254w + w2 = -1295.138418 The w term is -1.694915254w. Take half its coefficient (-0.847457627). Square it (0.7181844296) and add it to both sides. Add '0.7181844296' to each side of the equation. -1.694915254w + 0.7181844296 + w2 = -1295.138418 + 0.7181844296 Reorder the terms: 0.7181844296 + -1.694915254w + w2 = -1295.138418 + 0.7181844296 Combine like terms: -1295.138418 + 0.7181844296 = -1294.4202335704 0.7181844296 + -1.694915254w + w2 = -1294.4202335704 Factor a perfect square on the left side: (w + -0.847457627)(w + -0.847457627) = -1294.4202335704 Can't calculate square root of the right side. The solution to this equation could not be determined.
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