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Simplifying (y3 + -3y2 + 2y)(6 + -1xy + 3x) = (y + -3)(Y2 + 2 + -1x) Reorder the terms: (2y + -3y2 + y3)(6 + -1xy + 3x) = (y + -3)(Y2 + 2 + -1x) Reorder the terms: (2y + -3y2 + y3)(6 + 3x + -1xy) = (y + -3)(Y2 + 2 + -1x) Multiply (2y + -3y2 + y3) * (6 + 3x + -1xy) (2y * (6 + 3x + -1xy) + -3y2 * (6 + 3x + -1xy) + y3(6 + 3x + -1xy)) = (y + -3)(Y2 + 2 + -1x) ((6 * 2y + 3x * 2y + -1xy * 2y) + -3y2 * (6 + 3x + -1xy) + y3(6 + 3x + -1xy)) = (y + -3)(Y2 + 2 + -1x) Reorder the terms: ((6xy + -2xy2 + 12y) + -3y2 * (6 + 3x + -1xy) + y3(6 + 3x + -1xy)) = (y + -3)(Y2 + 2 + -1x) ((6xy + -2xy2 + 12y) + -3y2 * (6 + 3x + -1xy) + y3(6 + 3x + -1xy)) = (y + -3)(Y2 + 2 + -1x) (6xy + -2xy2 + 12y + (6 * -3y2 + 3x * -3y2 + -1xy * -3y2) + y3(6 + 3x + -1xy)) = (y + -3)(Y2 + 2 + -1x) Reorder the terms: (6xy + -2xy2 + 12y + (-9xy2 + 3xy3 + -18y2) + y3(6 + 3x + -1xy)) = (y + -3)(Y2 + 2 + -1x) (6xy + -2xy2 + 12y + (-9xy2 + 3xy3 + -18y2) + y3(6 + 3x + -1xy)) = (y + -3)(Y2 + 2 + -1x) (6xy + -2xy2 + 12y + -9xy2 + 3xy3 + -18y2 + (6 * y3 + 3x * y3 + -1xy * y3)) = (y + -3)(Y2 + 2 + -1x) Reorder the terms: (6xy + -2xy2 + 12y + -9xy2 + 3xy3 + -18y2 + (3xy3 + -1xy4 + 6y3)) = (y + -3)(Y2 + 2 + -1x) (6xy + -2xy2 + 12y + -9xy2 + 3xy3 + -18y2 + (3xy3 + -1xy4 + 6y3)) = (y + -3)(Y2 + 2 + -1x) Reorder the terms: (6xy + -2xy2 + -9xy2 + 3xy3 + 3xy3 + -1xy4 + 12y + -18y2 + 6y3) = (y + -3)(Y2 + 2 + -1x) Combine like terms: -2xy2 + -9xy2 = -11xy2 (6xy + -11xy2 + 3xy3 + 3xy3 + -1xy4 + 12y + -18y2 + 6y3) = (y + -3)(Y2 + 2 + -1x) Combine like terms: 3xy3 + 3xy3 = 6xy3 (6xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + 6y3) = (y + -3)(Y2 + 2 + -1x) Reorder the terms: 6xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + 6y3 = (-3 + y)(Y2 + 2 + -1x) Reorder the terms: 6xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + 6y3 = (-3 + y)(2 + Y2 + -1x) Multiply (-3 + y) * (2 + Y2 + -1x) 6xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + 6y3 = (-3(2 + Y2 + -1x) + y(2 + Y2 + -1x)) 6xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + 6y3 = ((2 * -3 + Y2 * -3 + -1x * -3) + y(2 + Y2 + -1x)) 6xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + 6y3 = ((-6 + -3Y2 + 3x) + y(2 + Y2 + -1x)) 6xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + 6y3 = (-6 + -3Y2 + 3x + (2 * y + Y2 * y + -1x * y)) Reorder the terms: 6xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + 6y3 = (-6 + -3Y2 + 3x + (-1xy + 2y + yY2)) 6xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + 6y3 = (-6 + -3Y2 + 3x + (-1xy + 2y + yY2)) 6xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + 6y3 = (-6 + -3Y2 + 3x + -1xy + 2y + yY2) Solving 6xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + 6y3 = -6 + -3Y2 + 3x + -1xy + 2y + yY2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + -3x + 6y3 = -6 + -3Y2 + 3x + -1xy + 2y + -3x + yY2 Reorder the terms: -3x + 6xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + 6y3 = -6 + -3Y2 + 3x + -1xy + 2y + -3x + yY2 Reorder the terms: -3x + 6xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + 6y3 = -6 + -3Y2 + 3x + -3x + -1xy + 2y + yY2 Combine like terms: 3x + -3x = 0 -3x + 6xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + 6y3 = -6 + -3Y2 + 0 + -1xy + 2y + yY2 -3x + 6xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + 6y3 = -6 + -3Y2 + -1xy + 2y + yY2 Add 'xy' to each side of the equation. -3x + 6xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + xy + 6y3 = -6 + -3Y2 + -1xy + 2y + xy + yY2 Reorder the terms: -3x + 6xy + xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + 6y3 = -6 + -3Y2 + -1xy + 2y + xy + yY2 Combine like terms: 6xy + xy = 7xy -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + 6y3 = -6 + -3Y2 + -1xy + 2y + xy + yY2 Reorder the terms: -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + 6y3 = -6 + -3Y2 + -1xy + xy + 2y + yY2 Combine like terms: -1xy + xy = 0 -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + 6y3 = -6 + -3Y2 + 0 + 2y + yY2 -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + 6y3 = -6 + -3Y2 + 2y + yY2 Add '-12y' to each side of the equation. -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 12y + -18y2 + -12y + 6y3 = -6 + -3Y2 + 2y + -12y + yY2 Reorder the terms: -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 12y + -12y + -18y2 + 6y3 = -6 + -3Y2 + 2y + -12y + yY2 Combine like terms: 12y + -12y = 0 -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 0 + -18y2 + 6y3 = -6 + -3Y2 + 2y + -12y + yY2 -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + -18y2 + 6y3 = -6 + -3Y2 + 2y + -12y + yY2 Combine like terms: 2y + -12y = -10y -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + -18y2 + 6y3 = -6 + -3Y2 + -10y + yY2 Add '18y2' to each side of the equation. -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + -18y2 + 18y2 + 6y3 = -6 + -3Y2 + -10y + yY2 + 18y2 Combine like terms: -18y2 + 18y2 = 0 -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 0 + 6y3 = -6 + -3Y2 + -10y + yY2 + 18y2 -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 6y3 = -6 + -3Y2 + -10y + yY2 + 18y2 Add '-6y3' to each side of the equation. -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 6y3 + -6y3 = -6 + -3Y2 + -10y + yY2 + 18y2 + -6y3 Combine like terms: 6y3 + -6y3 = 0 -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 0 = -6 + -3Y2 + -10y + yY2 + 18y2 + -6y3 -3x + 7xy + -11xy2 + 6xy3 + -1xy4 = -6 + -3Y2 + -10y + yY2 + 18y2 + -6y3 Reorder the terms: 6 + 3Y2 + -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 10y + -1yY2 + -18y2 + 6y3 = -6 + -3Y2 + -10y + yY2 + 18y2 + -6y3 + 6 + 3Y2 + 10y + -1yY2 + -18y2 + 6y3 Reorder the terms: 6 + 3Y2 + -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 10y + -1yY2 + -18y2 + 6y3 = -6 + 6 + -3Y2 + 3Y2 + -10y + 10y + yY2 + -1yY2 + 18y2 + -18y2 + -6y3 + 6y3 Combine like terms: -6 + 6 = 0 6 + 3Y2 + -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 10y + -1yY2 + -18y2 + 6y3 = 0 + -3Y2 + 3Y2 + -10y + 10y + yY2 + -1yY2 + 18y2 + -18y2 + -6y3 + 6y3 6 + 3Y2 + -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 10y + -1yY2 + -18y2 + 6y3 = -3Y2 + 3Y2 + -10y + 10y + yY2 + -1yY2 + 18y2 + -18y2 + -6y3 + 6y3 Combine like terms: -3Y2 + 3Y2 = 0 6 + 3Y2 + -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 10y + -1yY2 + -18y2 + 6y3 = 0 + -10y + 10y + yY2 + -1yY2 + 18y2 + -18y2 + -6y3 + 6y3 6 + 3Y2 + -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 10y + -1yY2 + -18y2 + 6y3 = -10y + 10y + yY2 + -1yY2 + 18y2 + -18y2 + -6y3 + 6y3 Combine like terms: -10y + 10y = 0 6 + 3Y2 + -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 10y + -1yY2 + -18y2 + 6y3 = 0 + yY2 + -1yY2 + 18y2 + -18y2 + -6y3 + 6y3 6 + 3Y2 + -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 10y + -1yY2 + -18y2 + 6y3 = yY2 + -1yY2 + 18y2 + -18y2 + -6y3 + 6y3 Combine like terms: yY2 + -1yY2 = 0 6 + 3Y2 + -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 10y + -1yY2 + -18y2 + 6y3 = 0 + 18y2 + -18y2 + -6y3 + 6y3 6 + 3Y2 + -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 10y + -1yY2 + -18y2 + 6y3 = 18y2 + -18y2 + -6y3 + 6y3 Combine like terms: 18y2 + -18y2 = 0 6 + 3Y2 + -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 10y + -1yY2 + -18y2 + 6y3 = 0 + -6y3 + 6y3 6 + 3Y2 + -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 10y + -1yY2 + -18y2 + 6y3 = -6y3 + 6y3 Combine like terms: -6y3 + 6y3 = 0 6 + 3Y2 + -3x + 7xy + -11xy2 + 6xy3 + -1xy4 + 10y + -1yY2 + -18y2 + 6y3 = 0 The solution to this equation could not be determined.
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