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Simplifying 2u2 + 16u + 34 + -1u2 + -10u + 25 = 0 Reorder the terms: 34 + 25 + 16u + -10u + 2u2 + -1u2 = 0 Combine like terms: 34 + 25 = 59 59 + 16u + -10u + 2u2 + -1u2 = 0 Combine like terms: 16u + -10u = 6u 59 + 6u + 2u2 + -1u2 = 0 Combine like terms: 2u2 + -1u2 = 1u2 59 + 6u + 1u2 = 0 Solving 59 + 6u + 1u2 = 0 Solving for variable 'u'. Begin completing the square. Move the constant term to the right: Add '-59' to each side of the equation. 59 + 6u + -59 + u2 = 0 + -59 Reorder the terms: 59 + -59 + 6u + u2 = 0 + -59 Combine like terms: 59 + -59 = 0 0 + 6u + u2 = 0 + -59 6u + u2 = 0 + -59 Combine like terms: 0 + -59 = -59 6u + u2 = -59 The u term is 6u. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6u + 9 + u2 = -59 + 9 Reorder the terms: 9 + 6u + u2 = -59 + 9 Combine like terms: -59 + 9 = -50 9 + 6u + u2 = -50 Factor a perfect square on the left side: (u + 3)(u + 3) = -50 Can't calculate square root of the right side. The solution to this equation could not be determined.
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