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Simplifying 2u2 + -1u + 1 = 0 Reorder the terms: 1 + -1u + 2u2 = 0 Solving 1 + -1u + 2u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 0.5 + -0.5u + u2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.5u + -0.5 + u2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.5u + u2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.5u + u2 = 0 + -0.5 -0.5u + u2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -0.5u + u2 = -0.5 The u term is -0.5u. 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. -0.5u + 0.0625 + u2 = -0.5 + 0.0625 Reorder the terms: 0.0625 + -0.5u + u2 = -0.5 + 0.0625 Combine like terms: -0.5 + 0.0625 = -0.4375 0.0625 + -0.5u + u2 = -0.4375 Factor a perfect square on the left side: (u + -0.25)(u + -0.25) = -0.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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