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Simplifying -1u2 + u + -20 = 0 Reorder the terms: -20 + u + -1u2 = 0 Solving -20 + u + -1u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 20 + -1u + u2 = 0 Move the constant term to the right: Add '-20' to each side of the equation. 20 + -1u + -20 + u2 = 0 + -20 Reorder the terms: 20 + -20 + -1u + u2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1u + u2 = 0 + -20 -1u + u2 = 0 + -20 Combine like terms: 0 + -20 = -20 -1u + u2 = -20 The u term is u. 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. -1u + 0.25 + u2 = -20 + 0.25 Reorder the terms: 0.25 + -1u + u2 = -20 + 0.25 Combine like terms: -20 + 0.25 = -19.75 0.25 + -1u + u2 = -19.75 Factor a perfect square on the left side: (u + 0.5)(u + 0.5) = -19.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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