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Simplifying 9u2 + 30u + 35 = 0 Reorder the terms: 35 + 30u + 9u2 = 0 Solving 35 + 30u + 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'. 3.888888889 + 3.333333333u + u2 = 0 Move the constant term to the right: Add '-3.888888889' to each side of the equation. 3.888888889 + 3.333333333u + -3.888888889 + u2 = 0 + -3.888888889 Reorder the terms: 3.888888889 + -3.888888889 + 3.333333333u + u2 = 0 + -3.888888889 Combine like terms: 3.888888889 + -3.888888889 = 0.000000000 0.000000000 + 3.333333333u + u2 = 0 + -3.888888889 3.333333333u + u2 = 0 + -3.888888889 Combine like terms: 0 + -3.888888889 = -3.888888889 3.333333333u + u2 = -3.888888889 The u term is 3.333333333u. Take half its coefficient (1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. 3.333333333u + 2.777777779 + u2 = -3.888888889 + 2.777777779 Reorder the terms: 2.777777779 + 3.333333333u + u2 = -3.888888889 + 2.777777779 Combine like terms: -3.888888889 + 2.777777779 = -1.11111111 2.777777779 + 3.333333333u + u2 = -1.11111111 Factor a perfect square on the left side: (u + 1.666666667)(u + 1.666666667) = -1.11111111 Can't calculate square root of the right side. The solution to this equation could not be determined.
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