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Simplifying u2 + 9u + 86 = 0 Reorder the terms: 86 + 9u + u2 = 0 Solving 86 + 9u + u2 = 0 Solving for variable 'u'. Begin completing the square. Move the constant term to the right: Add '-86' to each side of the equation. 86 + 9u + -86 + u2 = 0 + -86 Reorder the terms: 86 + -86 + 9u + u2 = 0 + -86 Combine like terms: 86 + -86 = 0 0 + 9u + u2 = 0 + -86 9u + u2 = 0 + -86 Combine like terms: 0 + -86 = -86 9u + u2 = -86 The u term is 9u. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9u + 20.25 + u2 = -86 + 20.25 Reorder the terms: 20.25 + 9u + u2 = -86 + 20.25 Combine like terms: -86 + 20.25 = -65.75 20.25 + 9u + u2 = -65.75 Factor a perfect square on the left side: (u + 4.5)(u + 4.5) = -65.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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