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Simplifying u2 + 8u + 60 = 0 Reorder the terms: 60 + 8u + u2 = 0 Solving 60 + 8u + u2 = 0 Solving for variable 'u'. Begin completing the square. Move the constant term to the right: Add '-60' to each side of the equation. 60 + 8u + -60 + u2 = 0 + -60 Reorder the terms: 60 + -60 + 8u + u2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 8u + u2 = 0 + -60 8u + u2 = 0 + -60 Combine like terms: 0 + -60 = -60 8u + u2 = -60 The u term is 8u. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8u + 16 + u2 = -60 + 16 Reorder the terms: 16 + 8u + u2 = -60 + 16 Combine like terms: -60 + 16 = -44 16 + 8u + u2 = -44 Factor a perfect square on the left side: (u + 4)(u + 4) = -44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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