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Simplifying (-3u2 + 8u + 1) + -1(4u2 + -9u + 8) + (-2u2 + -2u + -4) = 0 Reorder the terms: (1 + 8u + -3u2) + -1(4u2 + -9u + 8) + (-2u2 + -2u + -4) = 0 Remove parenthesis around (1 + 8u + -3u2) 1 + 8u + -3u2 + -1(4u2 + -9u + 8) + (-2u2 + -2u + -4) = 0 Reorder the terms: 1 + 8u + -3u2 + -1(8 + -9u + 4u2) + (-2u2 + -2u + -4) = 0 1 + 8u + -3u2 + (8 * -1 + -9u * -1 + 4u2 * -1) + (-2u2 + -2u + -4) = 0 1 + 8u + -3u2 + (-8 + 9u + -4u2) + (-2u2 + -2u + -4) = 0 Reorder the terms: 1 + 8u + -3u2 + -8 + 9u + -4u2 + (-4 + -2u + -2u2) = 0 Remove parenthesis around (-4 + -2u + -2u2) 1 + 8u + -3u2 + -8 + 9u + -4u2 + -4 + -2u + -2u2 = 0 Reorder the terms: 1 + -8 + -4 + 8u + 9u + -2u + -3u2 + -4u2 + -2u2 = 0 Combine like terms: 1 + -8 = -7 -7 + -4 + 8u + 9u + -2u + -3u2 + -4u2 + -2u2 = 0 Combine like terms: -7 + -4 = -11 -11 + 8u + 9u + -2u + -3u2 + -4u2 + -2u2 = 0 Combine like terms: 8u + 9u = 17u -11 + 17u + -2u + -3u2 + -4u2 + -2u2 = 0 Combine like terms: 17u + -2u = 15u -11 + 15u + -3u2 + -4u2 + -2u2 = 0 Combine like terms: -3u2 + -4u2 = -7u2 -11 + 15u + -7u2 + -2u2 = 0 Combine like terms: -7u2 + -2u2 = -9u2 -11 + 15u + -9u2 = 0 Solving -11 + 15u + -9u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 1.222222222 + -1.666666667u + u2 = 0 Move the constant term to the right: Add '-1.222222222' to each side of the equation. 1.222222222 + -1.666666667u + -1.222222222 + u2 = 0 + -1.222222222 Reorder the terms: 1.222222222 + -1.222222222 + -1.666666667u + u2 = 0 + -1.222222222 Combine like terms: 1.222222222 + -1.222222222 = 0.000000000 0.000000000 + -1.666666667u + u2 = 0 + -1.222222222 -1.666666667u + u2 = 0 + -1.222222222 Combine like terms: 0 + -1.222222222 = -1.222222222 -1.666666667u + u2 = -1.222222222 The u term is -1.666666667u. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667u + 0.6944444447 + u2 = -1.222222222 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667u + u2 = -1.222222222 + 0.6944444447 Combine like terms: -1.222222222 + 0.6944444447 = -0.5277777773 0.6944444447 + -1.666666667u + u2 = -0.5277777773 Factor a perfect square on the left side: (u + -0.8333333335)(u + -0.8333333335) = -0.5277777773 Can't calculate square root of the right side. The solution to this equation could not be determined.
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