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Simplifying 6u2 + u + 18 = 0 Reorder the terms: 18 + u + 6u2 = 0 Solving 18 + u + 6u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 3 + 0.1666666667u + u2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 0.1666666667u + -3 + u2 = 0 + -3 Reorder the terms: 3 + -3 + 0.1666666667u + u2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 0.1666666667u + u2 = 0 + -3 0.1666666667u + u2 = 0 + -3 Combine like terms: 0 + -3 = -3 0.1666666667u + u2 = -3 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. 0.1666666667u + 0.25 + u2 = -3 + 0.25 Reorder the terms: 0.25 + 0.1666666667u + u2 = -3 + 0.25 Combine like terms: -3 + 0.25 = -2.75 0.25 + 0.1666666667u + u2 = -2.75 Factor a perfect square on the left side: (u + 0.5)(u + 0.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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