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Simplifying u2 + 7u + 26 = 0 Reorder the terms: 26 + 7u + u2 = 0 Solving 26 + 7u + u2 = 0 Solving for variable 'u'. Begin completing the square. Move the constant term to the right: Add '-26' to each side of the equation. 26 + 7u + -26 + u2 = 0 + -26 Reorder the terms: 26 + -26 + 7u + u2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 7u + u2 = 0 + -26 7u + u2 = 0 + -26 Combine like terms: 0 + -26 = -26 7u + u2 = -26 The u term is 7u. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7u + 12.25 + u2 = -26 + 12.25 Reorder the terms: 12.25 + 7u + u2 = -26 + 12.25 Combine like terms: -26 + 12.25 = -13.75 12.25 + 7u + u2 = -13.75 Factor a perfect square on the left side: (u + 3.5)(u + 3.5) = -13.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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