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Simplifying (-5u2 + 7u + -3) + -1(4u2 + -2u + 3) + (2u2 + 2u + -3) = 0 Reorder the terms: (-3 + 7u + -5u2) + -1(4u2 + -2u + 3) + (2u2 + 2u + -3) = 0 Remove parenthesis around (-3 + 7u + -5u2) -3 + 7u + -5u2 + -1(4u2 + -2u + 3) + (2u2 + 2u + -3) = 0 Reorder the terms: -3 + 7u + -5u2 + -1(3 + -2u + 4u2) + (2u2 + 2u + -3) = 0 -3 + 7u + -5u2 + (3 * -1 + -2u * -1 + 4u2 * -1) + (2u2 + 2u + -3) = 0 -3 + 7u + -5u2 + (-3 + 2u + -4u2) + (2u2 + 2u + -3) = 0 Reorder the terms: -3 + 7u + -5u2 + -3 + 2u + -4u2 + (-3 + 2u + 2u2) = 0 Remove parenthesis around (-3 + 2u + 2u2) -3 + 7u + -5u2 + -3 + 2u + -4u2 + -3 + 2u + 2u2 = 0 Reorder the terms: -3 + -3 + -3 + 7u + 2u + 2u + -5u2 + -4u2 + 2u2 = 0 Combine like terms: -3 + -3 = -6 -6 + -3 + 7u + 2u + 2u + -5u2 + -4u2 + 2u2 = 0 Combine like terms: -6 + -3 = -9 -9 + 7u + 2u + 2u + -5u2 + -4u2 + 2u2 = 0 Combine like terms: 7u + 2u = 9u -9 + 9u + 2u + -5u2 + -4u2 + 2u2 = 0 Combine like terms: 9u + 2u = 11u -9 + 11u + -5u2 + -4u2 + 2u2 = 0 Combine like terms: -5u2 + -4u2 = -9u2 -9 + 11u + -9u2 + 2u2 = 0 Combine like terms: -9u2 + 2u2 = -7u2 -9 + 11u + -7u2 = 0 Solving -9 + 11u + -7u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 1.285714286 + -1.571428571u + u2 = 0 Move the constant term to the right: Add '-1.285714286' to each side of the equation. 1.285714286 + -1.571428571u + -1.285714286 + u2 = 0 + -1.285714286 Reorder the terms: 1.285714286 + -1.285714286 + -1.571428571u + u2 = 0 + -1.285714286 Combine like terms: 1.285714286 + -1.285714286 = 0.000000000 0.000000000 + -1.571428571u + u2 = 0 + -1.285714286 -1.571428571u + u2 = 0 + -1.285714286 Combine like terms: 0 + -1.285714286 = -1.285714286 -1.571428571u + u2 = -1.285714286 The u term is -1.571428571u. Take half its coefficient (-0.7857142855). Square it (0.6173469384) and add it to both sides. Add '0.6173469384' to each side of the equation. -1.571428571u + 0.6173469384 + u2 = -1.285714286 + 0.6173469384 Reorder the terms: 0.6173469384 + -1.571428571u + u2 = -1.285714286 + 0.6173469384 Combine like terms: -1.285714286 + 0.6173469384 = -0.6683673476 0.6173469384 + -1.571428571u + u2 = -0.6683673476 Factor a perfect square on the left side: (u + -0.7857142855)(u + -0.7857142855) = -0.6683673476 Can't calculate square root of the right side. The solution to this equation could not be determined.
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