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Simplifying (3u2 + -5u + 2) + (9u2 + 5u + -5) + -1(8u2 + 3u + -6) = 0 Reorder the terms: (2 + -5u + 3u2) + (9u2 + 5u + -5) + -1(8u2 + 3u + -6) = 0 Remove parenthesis around (2 + -5u + 3u2) 2 + -5u + 3u2 + (9u2 + 5u + -5) + -1(8u2 + 3u + -6) = 0 Reorder the terms: 2 + -5u + 3u2 + (-5 + 5u + 9u2) + -1(8u2 + 3u + -6) = 0 Remove parenthesis around (-5 + 5u + 9u2) 2 + -5u + 3u2 + -5 + 5u + 9u2 + -1(8u2 + 3u + -6) = 0 Reorder the terms: 2 + -5u + 3u2 + -5 + 5u + 9u2 + -1(-6 + 3u + 8u2) = 0 2 + -5u + 3u2 + -5 + 5u + 9u2 + (-6 * -1 + 3u * -1 + 8u2 * -1) = 0 2 + -5u + 3u2 + -5 + 5u + 9u2 + (6 + -3u + -8u2) = 0 Reorder the terms: 2 + -5 + 6 + -5u + 5u + -3u + 3u2 + 9u2 + -8u2 = 0 Combine like terms: 2 + -5 = -3 -3 + 6 + -5u + 5u + -3u + 3u2 + 9u2 + -8u2 = 0 Combine like terms: -3 + 6 = 3 3 + -5u + 5u + -3u + 3u2 + 9u2 + -8u2 = 0 Combine like terms: -5u + 5u = 0 3 + 0 + -3u + 3u2 + 9u2 + -8u2 = 0 3 + -3u + 3u2 + 9u2 + -8u2 = 0 Combine like terms: 3u2 + 9u2 = 12u2 3 + -3u + 12u2 + -8u2 = 0 Combine like terms: 12u2 + -8u2 = 4u2 3 + -3u + 4u2 = 0 Solving 3 + -3u + 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'. 0.75 + -0.75u + u2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + -0.75u + -0.75 + u2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + -0.75u + u2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -0.75u + u2 = 0 + -0.75 -0.75u + u2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 -0.75u + u2 = -0.75 The u term is -0.75u. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75u + 0.140625 + u2 = -0.75 + 0.140625 Reorder the terms: 0.140625 + -0.75u + u2 = -0.75 + 0.140625 Combine like terms: -0.75 + 0.140625 = -0.609375 0.140625 + -0.75u + u2 = -0.609375 Factor a perfect square on the left side: (u + -0.375)(u + -0.375) = -0.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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