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Simplifying (8u2 + -2u + 9) + -1(-5u2 + 9u + -7) + (9u2 + 8u + 7) = 0 Reorder the terms: (9 + -2u + 8u2) + -1(-5u2 + 9u + -7) + (9u2 + 8u + 7) = 0 Remove parenthesis around (9 + -2u + 8u2) 9 + -2u + 8u2 + -1(-5u2 + 9u + -7) + (9u2 + 8u + 7) = 0 Reorder the terms: 9 + -2u + 8u2 + -1(-7 + 9u + -5u2) + (9u2 + 8u + 7) = 0 9 + -2u + 8u2 + (-7 * -1 + 9u * -1 + -5u2 * -1) + (9u2 + 8u + 7) = 0 9 + -2u + 8u2 + (7 + -9u + 5u2) + (9u2 + 8u + 7) = 0 Reorder the terms: 9 + -2u + 8u2 + 7 + -9u + 5u2 + (7 + 8u + 9u2) = 0 Remove parenthesis around (7 + 8u + 9u2) 9 + -2u + 8u2 + 7 + -9u + 5u2 + 7 + 8u + 9u2 = 0 Reorder the terms: 9 + 7 + 7 + -2u + -9u + 8u + 8u2 + 5u2 + 9u2 = 0 Combine like terms: 9 + 7 = 16 16 + 7 + -2u + -9u + 8u + 8u2 + 5u2 + 9u2 = 0 Combine like terms: 16 + 7 = 23 23 + -2u + -9u + 8u + 8u2 + 5u2 + 9u2 = 0 Combine like terms: -2u + -9u = -11u 23 + -11u + 8u + 8u2 + 5u2 + 9u2 = 0 Combine like terms: -11u + 8u = -3u 23 + -3u + 8u2 + 5u2 + 9u2 = 0 Combine like terms: 8u2 + 5u2 = 13u2 23 + -3u + 13u2 + 9u2 = 0 Combine like terms: 13u2 + 9u2 = 22u2 23 + -3u + 22u2 = 0 Solving 23 + -3u + 22u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 22 the coefficient of the squared term: Divide each side by '22'. 1.045454545 + -0.1363636364u + u2 = 0 Move the constant term to the right: Add '-1.045454545' to each side of the equation. 1.045454545 + -0.1363636364u + -1.045454545 + u2 = 0 + -1.045454545 Reorder the terms: 1.045454545 + -1.045454545 + -0.1363636364u + u2 = 0 + -1.045454545 Combine like terms: 1.045454545 + -1.045454545 = 0.000000000 0.000000000 + -0.1363636364u + u2 = 0 + -1.045454545 -0.1363636364u + u2 = 0 + -1.045454545 Combine like terms: 0 + -1.045454545 = -1.045454545 -0.1363636364u + u2 = -1.045454545 The u term is -0.1363636364u. Take half its coefficient (-0.0681818182). Square it (0.004648760333) and add it to both sides. Add '0.004648760333' to each side of the equation. -0.1363636364u + 0.004648760333 + u2 = -1.045454545 + 0.004648760333 Reorder the terms: 0.004648760333 + -0.1363636364u + u2 = -1.045454545 + 0.004648760333 Combine like terms: -1.045454545 + 0.004648760333 = -1.040805784667 0.004648760333 + -0.1363636364u + u2 = -1.040805784667 Factor a perfect square on the left side: (u + -0.0681818182)(u + -0.0681818182) = -1.040805784667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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