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Simplifying 2u2 + -3u + 44 + -1u2 + -16 = 0 Reorder the terms: 44 + -16 + -3u + 2u2 + -1u2 = 0 Combine like terms: 44 + -16 = 28 28 + -3u + 2u2 + -1u2 = 0 Combine like terms: 2u2 + -1u2 = 1u2 28 + -3u + 1u2 = 0 Solving 28 + -3u + 1u2 = 0 Solving for variable 'u'. Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + -3u + -28 + u2 = 0 + -28 Reorder the terms: 28 + -28 + -3u + u2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -3u + u2 = 0 + -28 -3u + u2 = 0 + -28 Combine like terms: 0 + -28 = -28 -3u + u2 = -28 The u term is -3u. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3u + 2.25 + u2 = -28 + 2.25 Reorder the terms: 2.25 + -3u + u2 = -28 + 2.25 Combine like terms: -28 + 2.25 = -25.75 2.25 + -3u + u2 = -25.75 Factor a perfect square on the left side: (u + -1.5)(u + -1.5) = -25.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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