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Simplifying (2u2 + -9u + 5) + -1(6u2 + -3u + -2) + (9u2 + -9u + 6) = 0 Reorder the terms: (5 + -9u + 2u2) + -1(6u2 + -3u + -2) + (9u2 + -9u + 6) = 0 Remove parenthesis around (5 + -9u + 2u2) 5 + -9u + 2u2 + -1(6u2 + -3u + -2) + (9u2 + -9u + 6) = 0 Reorder the terms: 5 + -9u + 2u2 + -1(-2 + -3u + 6u2) + (9u2 + -9u + 6) = 0 5 + -9u + 2u2 + (-2 * -1 + -3u * -1 + 6u2 * -1) + (9u2 + -9u + 6) = 0 5 + -9u + 2u2 + (2 + 3u + -6u2) + (9u2 + -9u + 6) = 0 Reorder the terms: 5 + -9u + 2u2 + 2 + 3u + -6u2 + (6 + -9u + 9u2) = 0 Remove parenthesis around (6 + -9u + 9u2) 5 + -9u + 2u2 + 2 + 3u + -6u2 + 6 + -9u + 9u2 = 0 Reorder the terms: 5 + 2 + 6 + -9u + 3u + -9u + 2u2 + -6u2 + 9u2 = 0 Combine like terms: 5 + 2 = 7 7 + 6 + -9u + 3u + -9u + 2u2 + -6u2 + 9u2 = 0 Combine like terms: 7 + 6 = 13 13 + -9u + 3u + -9u + 2u2 + -6u2 + 9u2 = 0 Combine like terms: -9u + 3u = -6u 13 + -6u + -9u + 2u2 + -6u2 + 9u2 = 0 Combine like terms: -6u + -9u = -15u 13 + -15u + 2u2 + -6u2 + 9u2 = 0 Combine like terms: 2u2 + -6u2 = -4u2 13 + -15u + -4u2 + 9u2 = 0 Combine like terms: -4u2 + 9u2 = 5u2 13 + -15u + 5u2 = 0 Solving 13 + -15u + 5u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.6 + -3u + u2 = 0 Move the constant term to the right: Add '-2.6' to each side of the equation. 2.6 + -3u + -2.6 + u2 = 0 + -2.6 Reorder the terms: 2.6 + -2.6 + -3u + u2 = 0 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + -3u + u2 = 0 + -2.6 -3u + u2 = 0 + -2.6 Combine like terms: 0 + -2.6 = -2.6 -3u + u2 = -2.6 The u term is -3u. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3u + 2.25 + u2 = -2.6 + 2.25 Reorder the terms: 2.25 + -3u + u2 = -2.6 + 2.25 Combine like terms: -2.6 + 2.25 = -0.35 2.25 + -3u + u2 = -0.35 Factor a perfect square on the left side: (u + -1.5)(u + -1.5) = -0.35 Can't calculate square root of the right side. The solution to this equation could not be determined.
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