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Simplifying 4u2 + -33u + 81 = 0 Reorder the terms: 81 + -33u + 4u2 = 0 Solving 81 + -33u + 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 + -8.25u + u2 = 0 Move the constant term to the right: Add '-20.25' to each side of the equation. 20.25 + -8.25u + -20.25 + u2 = 0 + -20.25 Reorder the terms: 20.25 + -20.25 + -8.25u + u2 = 0 + -20.25 Combine like terms: 20.25 + -20.25 = 0.00 0.00 + -8.25u + u2 = 0 + -20.25 -8.25u + u2 = 0 + -20.25 Combine like terms: 0 + -20.25 = -20.25 -8.25u + u2 = -20.25 The u term is -8.25u. Take half its coefficient (-4.125). Square it (17.015625) and add it to both sides. Add '17.015625' to each side of the equation. -8.25u + 17.015625 + u2 = -20.25 + 17.015625 Reorder the terms: 17.015625 + -8.25u + u2 = -20.25 + 17.015625 Combine like terms: -20.25 + 17.015625 = -3.234375 17.015625 + -8.25u + u2 = -3.234375 Factor a perfect square on the left side: (u + -4.125)(u + -4.125) = -3.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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