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Simplifying 2u2 + -8u + 25 = u2 + 1 Reorder the terms: 25 + -8u + 2u2 = u2 + 1 Reorder the terms: 25 + -8u + 2u2 = 1 + u2 Solving 25 + -8u + 2u2 = 1 + u2 Solving for variable 'u'. Reorder the terms: 25 + -1 + -8u + 2u2 + -1u2 = 1 + u2 + -1 + -1u2 Combine like terms: 25 + -1 = 24 24 + -8u + 2u2 + -1u2 = 1 + u2 + -1 + -1u2 Combine like terms: 2u2 + -1u2 = 1u2 24 + -8u + 1u2 = 1 + u2 + -1 + -1u2 Reorder the terms: 24 + -8u + 1u2 = 1 + -1 + u2 + -1u2 Combine like terms: 1 + -1 = 0 24 + -8u + 1u2 = 0 + u2 + -1u2 24 + -8u + 1u2 = u2 + -1u2 Combine like terms: u2 + -1u2 = 0 24 + -8u + 1u2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + -8u + -24 + u2 = 0 + -24 Reorder the terms: 24 + -24 + -8u + u2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -8u + u2 = 0 + -24 -8u + u2 = 0 + -24 Combine like terms: 0 + -24 = -24 -8u + u2 = -24 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 = -24 + 16 Reorder the terms: 16 + -8u + u2 = -24 + 16 Combine like terms: -24 + 16 = -8 16 + -8u + u2 = -8 Factor a perfect square on the left side: (u + -4)(u + -4) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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