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Simplifying 5u2 + 5u + -2 + -1(-4u2 + 6u + -13) = 0 Reorder the terms: 5u2 + 5u + -2 + -1(-13 + 6u + -4u2) = 0 5u2 + 5u + -2 + (-13 * -1 + 6u * -1 + -4u2 * -1) = 0 5u2 + 5u + -2 + (13 + -6u + 4u2) = 0 Reorder the terms: -2 + 13 + 5u + -6u + 5u2 + 4u2 = 0 Combine like terms: -2 + 13 = 11 11 + 5u + -6u + 5u2 + 4u2 = 0 Combine like terms: 5u + -6u = -1u 11 + -1u + 5u2 + 4u2 = 0 Combine like terms: 5u2 + 4u2 = 9u2 11 + -1u + 9u2 = 0 Solving 11 + -1u + 9u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.222222222 + -0.1111111111u + u2 = 0 Move the constant term to the right: Add '-1.222222222' to each side of the equation. 1.222222222 + -0.1111111111u + -1.222222222 + u2 = 0 + -1.222222222 Reorder the terms: 1.222222222 + -1.222222222 + -0.1111111111u + u2 = 0 + -1.222222222 Combine like terms: 1.222222222 + -1.222222222 = 0.000000000 0.000000000 + -0.1111111111u + u2 = 0 + -1.222222222 -0.1111111111u + u2 = 0 + -1.222222222 Combine like terms: 0 + -1.222222222 = -1.222222222 -0.1111111111u + u2 = -1.222222222 The u term is -0.1111111111u. Take half its coefficient (-0.05555555555). Square it (0.003086419752) and add it to both sides. Add '0.003086419752' to each side of the equation. -0.1111111111u + 0.003086419752 + u2 = -1.222222222 + 0.003086419752 Reorder the terms: 0.003086419752 + -0.1111111111u + u2 = -1.222222222 + 0.003086419752 Combine like terms: -1.222222222 + 0.003086419752 = -1.219135802248 0.003086419752 + -0.1111111111u + u2 = -1.219135802248 Factor a perfect square on the left side: (u + -0.05555555555)(u + -0.05555555555) = -1.219135802248 Can't calculate square root of the right side. The solution to this equation could not be determined.
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