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Simplifying u2 + -10u + 51 = 0 Reorder the terms: 51 + -10u + u2 = 0 Solving 51 + -10u + u2 = 0 Solving for variable 'u'. Begin completing the square. Move the constant term to the right: Add '-51' to each side of the equation. 51 + -10u + -51 + u2 = 0 + -51 Reorder the terms: 51 + -51 + -10u + u2 = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -10u + u2 = 0 + -51 -10u + u2 = 0 + -51 Combine like terms: 0 + -51 = -51 -10u + u2 = -51 The u term is -10u. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10u + 25 + u2 = -51 + 25 Reorder the terms: 25 + -10u + u2 = -51 + 25 Combine like terms: -51 + 25 = -26 25 + -10u + u2 = -26 Factor a perfect square on the left side: (u + -5)(u + -5) = -26 Can't calculate square root of the right side. The solution to this equation could not be determined.
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