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Simplifying u2 + -25 = 2u2 + -5u + 11 Reorder the terms: -25 + u2 = 2u2 + -5u + 11 Reorder the terms: -25 + u2 = 11 + -5u + 2u2 Solving -25 + u2 = 11 + -5u + 2u2 Solving for variable 'u'. Reorder the terms: -25 + -11 + 5u + u2 + -2u2 = 11 + -5u + 2u2 + -11 + 5u + -2u2 Combine like terms: -25 + -11 = -36 -36 + 5u + u2 + -2u2 = 11 + -5u + 2u2 + -11 + 5u + -2u2 Combine like terms: u2 + -2u2 = -1u2 -36 + 5u + -1u2 = 11 + -5u + 2u2 + -11 + 5u + -2u2 Reorder the terms: -36 + 5u + -1u2 = 11 + -11 + -5u + 5u + 2u2 + -2u2 Combine like terms: 11 + -11 = 0 -36 + 5u + -1u2 = 0 + -5u + 5u + 2u2 + -2u2 -36 + 5u + -1u2 = -5u + 5u + 2u2 + -2u2 Combine like terms: -5u + 5u = 0 -36 + 5u + -1u2 = 0 + 2u2 + -2u2 -36 + 5u + -1u2 = 2u2 + -2u2 Combine like terms: 2u2 + -2u2 = 0 -36 + 5u + -1u2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 36 + -5u + u2 = 0 Move the constant term to the right: Add '-36' to each side of the equation. 36 + -5u + -36 + u2 = 0 + -36 Reorder the terms: 36 + -36 + -5u + u2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -5u + u2 = 0 + -36 -5u + u2 = 0 + -36 Combine like terms: 0 + -36 = -36 -5u + u2 = -36 The u term is -5u. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5u + 6.25 + u2 = -36 + 6.25 Reorder the terms: 6.25 + -5u + u2 = -36 + 6.25 Combine like terms: -36 + 6.25 = -29.75 6.25 + -5u + u2 = -29.75 Factor a perfect square on the left side: (u + -2.5)(u + -2.5) = -29.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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