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Simplifying 4u2 + 33u + 154 = 0 Reorder the terms: 154 + 33u + 4u2 = 0 Solving 154 + 33u + 4u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 38.5 + 8.25u + u2 = 0 Move the constant term to the right: Add '-38.5' to each side of the equation. 38.5 + 8.25u + -38.5 + u2 = 0 + -38.5 Reorder the terms: 38.5 + -38.5 + 8.25u + u2 = 0 + -38.5 Combine like terms: 38.5 + -38.5 = 0.0 0.0 + 8.25u + u2 = 0 + -38.5 8.25u + u2 = 0 + -38.5 Combine like terms: 0 + -38.5 = -38.5 8.25u + u2 = -38.5 The u term is 8.25u. Take half its coefficient (4.125). Square it (17.015625) and add it to both sides. Add '17.015625' to each side of the equation. 8.25u + 17.015625 + u2 = -38.5 + 17.015625 Reorder the terms: 17.015625 + 8.25u + u2 = -38.5 + 17.015625 Combine like terms: -38.5 + 17.015625 = -21.484375 17.015625 + 8.25u + u2 = -21.484375 Factor a perfect square on the left side: (u + 4.125)(u + 4.125) = -21.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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