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Simplifying 2u2 + 16 + 31 + -1u2 + -6u + -36 = 0 Reorder the terms: 16 + 31 + -36 + -6u + 2u2 + -1u2 = 0 Combine like terms: 16 + 31 = 47 47 + -36 + -6u + 2u2 + -1u2 = 0 Combine like terms: 47 + -36 = 11 11 + -6u + 2u2 + -1u2 = 0 Combine like terms: 2u2 + -1u2 = 1u2 11 + -6u + 1u2 = 0 Solving 11 + -6u + 1u2 = 0 Solving for variable 'u'. Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + -6u + -11 + u2 = 0 + -11 Reorder the terms: 11 + -11 + -6u + u2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6u + u2 = 0 + -11 -6u + u2 = 0 + -11 Combine like terms: 0 + -11 = -11 -6u + u2 = -11 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 = -11 + 9 Reorder the terms: 9 + -6u + u2 = -11 + 9 Combine like terms: -11 + 9 = -2 9 + -6u + u2 = -2 Factor a perfect square on the left side: (u + -3)(u + -3) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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