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Simplifying 2u2 + 9u + 13 = 0 Reorder the terms: 13 + 9u + 2u2 = 0 Solving 13 + 9u + 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'. 6.5 + 4.5u + u2 = 0 Move the constant term to the right: Add '-6.5' to each side of the equation. 6.5 + 4.5u + -6.5 + u2 = 0 + -6.5 Reorder the terms: 6.5 + -6.5 + 4.5u + u2 = 0 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 4.5u + u2 = 0 + -6.5 4.5u + u2 = 0 + -6.5 Combine like terms: 0 + -6.5 = -6.5 4.5u + u2 = -6.5 The u term is 4.5u. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5u + 5.0625 + u2 = -6.5 + 5.0625 Reorder the terms: 5.0625 + 4.5u + u2 = -6.5 + 5.0625 Combine like terms: -6.5 + 5.0625 = -1.4375 5.0625 + 4.5u + u2 = -1.4375 Factor a perfect square on the left side: (u + 2.25)(u + 2.25) = -1.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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