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Simplifying 4u2 + 27u + 81 = 0 Reorder the terms: 81 + 27u + 4u2 = 0 Solving 81 + 27u + 4u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 20.25 + 6.75u + u2 = 0 Move the constant term to the right: Add '-20.25' to each side of the equation. 20.25 + 6.75u + -20.25 + u2 = 0 + -20.25 Reorder the terms: 20.25 + -20.25 + 6.75u + u2 = 0 + -20.25 Combine like terms: 20.25 + -20.25 = 0.00 0.00 + 6.75u + u2 = 0 + -20.25 6.75u + u2 = 0 + -20.25 Combine like terms: 0 + -20.25 = -20.25 6.75u + u2 = -20.25 The u term is 6.75u. Take half its coefficient (3.375). Square it (11.390625) and add it to both sides. Add '11.390625' to each side of the equation. 6.75u + 11.390625 + u2 = -20.25 + 11.390625 Reorder the terms: 11.390625 + 6.75u + u2 = -20.25 + 11.390625 Combine like terms: -20.25 + 11.390625 = -8.859375 11.390625 + 6.75u + u2 = -8.859375 Factor a perfect square on the left side: (u + 3.375)(u + 3.375) = -8.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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