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Simplifying 2u2 + 11u + 74 = 0 Reorder the terms: 74 + 11u + 2u2 = 0 Solving 74 + 11u + 2u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 37 + 5.5u + u2 = 0 Move the constant term to the right: Add '-37' to each side of the equation. 37 + 5.5u + -37 + u2 = 0 + -37 Reorder the terms: 37 + -37 + 5.5u + u2 = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 5.5u + u2 = 0 + -37 5.5u + u2 = 0 + -37 Combine like terms: 0 + -37 = -37 5.5u + u2 = -37 The u term is 5.5u. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5u + 7.5625 + u2 = -37 + 7.5625 Reorder the terms: 7.5625 + 5.5u + u2 = -37 + 7.5625 Combine like terms: -37 + 7.5625 = -29.4375 7.5625 + 5.5u + u2 = -29.4375 Factor a perfect square on the left side: (u + 2.75)(u + 2.75) = -29.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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