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Simplifying (3x + -1y)(3x + -1y)(3x + -1y)(3x + -1y)(3x + -1y) = 0 Multiply (3x + -1y) * (3x + -1y) (3x * (3x + -1y) + -1y * (3x + -1y))(3x + -1y)(3x + -1y)(3x + -1y) = 0 ((3x * 3x + -1y * 3x) + -1y * (3x + -1y))(3x + -1y)(3x + -1y)(3x + -1y) = 0 Reorder the terms: ((-3xy + 9x2) + -1y * (3x + -1y))(3x + -1y)(3x + -1y)(3x + -1y) = 0 ((-3xy + 9x2) + -1y * (3x + -1y))(3x + -1y)(3x + -1y)(3x + -1y) = 0 (-3xy + 9x2 + (3x * -1y + -1y * -1y))(3x + -1y)(3x + -1y)(3x + -1y) = 0 (-3xy + 9x2 + (-3xy + 1y2))(3x + -1y)(3x + -1y)(3x + -1y) = 0 Reorder the terms: (-3xy + -3xy + 9x2 + 1y2)(3x + -1y)(3x + -1y)(3x + -1y) = 0 Combine like terms: -3xy + -3xy = -6xy (-6xy + 9x2 + 1y2)(3x + -1y)(3x + -1y)(3x + -1y) = 0 Multiply (-6xy + 9x2 + 1y2) * (3x + -1y) (-6xy * (3x + -1y) + 9x2 * (3x + -1y) + 1y2 * (3x + -1y))(3x + -1y)(3x + -1y) = 0 ((3x * -6xy + -1y * -6xy) + 9x2 * (3x + -1y) + 1y2 * (3x + -1y))(3x + -1y)(3x + -1y) = 0 Reorder the terms: ((6xy2 + -18x2y) + 9x2 * (3x + -1y) + 1y2 * (3x + -1y))(3x + -1y)(3x + -1y) = 0 ((6xy2 + -18x2y) + 9x2 * (3x + -1y) + 1y2 * (3x + -1y))(3x + -1y)(3x + -1y) = 0 (6xy2 + -18x2y + (3x * 9x2 + -1y * 9x2) + 1y2 * (3x + -1y))(3x + -1y)(3x + -1y) = 0 Reorder the terms: (6xy2 + -18x2y + (-9x2y + 27x3) + 1y2 * (3x + -1y))(3x + -1y)(3x + -1y) = 0 (6xy2 + -18x2y + (-9x2y + 27x3) + 1y2 * (3x + -1y))(3x + -1y)(3x + -1y) = 0 (6xy2 + -18x2y + -9x2y + 27x3 + (3x * 1y2 + -1y * 1y2))(3x + -1y)(3x + -1y) = 0 (6xy2 + -18x2y + -9x2y + 27x3 + (3xy2 + -1y3))(3x + -1y)(3x + -1y) = 0 Reorder the terms: (6xy2 + 3xy2 + -18x2y + -9x2y + 27x3 + -1y3)(3x + -1y)(3x + -1y) = 0 Combine like terms: 6xy2 + 3xy2 = 9xy2 (9xy2 + -18x2y + -9x2y + 27x3 + -1y3)(3x + -1y)(3x + -1y) = 0 Combine like terms: -18x2y + -9x2y = -27x2y (9xy2 + -27x2y + 27x3 + -1y3)(3x + -1y)(3x + -1y) = 0 Multiply (9xy2 + -27x2y + 27x3 + -1y3) * (3x + -1y) (9xy2 * (3x + -1y) + -27x2y * (3x + -1y) + 27x3 * (3x + -1y) + -1y3 * (3x + -1y))(3x + -1y) = 0 ((3x * 9xy2 + -1y * 9xy2) + -27x2y * (3x + -1y) + 27x3 * (3x + -1y) + -1y3 * (3x + -1y))(3x + -1y) = 0 Reorder the terms: ((-9xy3 + 27x2y2) + -27x2y * (3x + -1y) + 27x3 * (3x + -1y) + -1y3 * (3x + -1y))(3x + -1y) = 0 ((-9xy3 + 27x2y2) + -27x2y * (3x + -1y) + 27x3 * (3x + -1y) + -1y3 * (3x + -1y))(3x + -1y) = 0 (-9xy3 + 27x2y2 + (3x * -27x2y + -1y * -27x2y) + 27x3 * (3x + -1y) + -1y3 * (3x + -1y))(3x + -1y) = 0 Reorder the terms: (-9xy3 + 27x2y2 + (27x2y2 + -81x3y) + 27x3 * (3x + -1y) + -1y3 * (3x + -1y))(3x + -1y) = 0 (-9xy3 + 27x2y2 + (27x2y2 + -81x3y) + 27x3 * (3x + -1y) + -1y3 * (3x + -1y))(3x + -1y) = 0 (-9xy3 + 27x2y2 + 27x2y2 + -81x3y + (3x * 27x3 + -1y * 27x3) + -1y3 * (3x + -1y))(3x + -1y) = 0 Reorder the terms: (-9xy3 + 27x2y2 + 27x2y2 + -81x3y + (-27x3y + 81x4) + -1y3 * (3x + -1y))(3x + -1y) = 0 (-9xy3 + 27x2y2 + 27x2y2 + -81x3y + (-27x3y + 81x4) + -1y3 * (3x + -1y))(3x + -1y) = 0 (-9xy3 + 27x2y2 + 27x2y2 + -81x3y + -27x3y + 81x4 + (3x * -1y3 + -1y * -1y3))(3x + -1y) = 0 (-9xy3 + 27x2y2 + 27x2y2 + -81x3y + -27x3y + 81x4 + (-3xy3 + 1y4))(3x + -1y) = 0 Reorder the terms: (-9xy3 + -3xy3 + 27x2y2 + 27x2y2 + -81x3y + -27x3y + 81x4 + 1y4)(3x + -1y) = 0 Combine like terms: -9xy3 + -3xy3 = -12xy3 (-12xy3 + 27x2y2 + 27x2y2 + -81x3y + -27x3y + 81x4 + 1y4)(3x + -1y) = 0 Combine like terms: 27x2y2 + 27x2y2 = 54x2y2 (-12xy3 + 54x2y2 + -81x3y + -27x3y + 81x4 + 1y4)(3x + -1y) = 0 Combine like terms: -81x3y + -27x3y = -108x3y (-12xy3 + 54x2y2 + -108x3y + 81x4 + 1y4)(3x + -1y) = 0 Multiply (-12xy3 + 54x2y2 + -108x3y + 81x4 + 1y4) * (3x + -1y) (-12xy3 * (3x + -1y) + 54x2y2 * (3x + -1y) + -108x3y * (3x + -1y) + 81x4 * (3x + -1y) + 1y4 * (3x + -1y)) = 0 ((3x * -12xy3 + -1y * -12xy3) + 54x2y2 * (3x + -1y) + -108x3y * (3x + -1y) + 81x4 * (3x + -1y) + 1y4 * (3x + -1y)) = 0 Reorder the terms: ((12xy4 + -36x2y3) + 54x2y2 * (3x + -1y) + -108x3y * (3x + -1y) + 81x4 * (3x + -1y) + 1y4 * (3x + -1y)) = 0 ((12xy4 + -36x2y3) + 54x2y2 * (3x + -1y) + -108x3y * (3x + -1y) + 81x4 * (3x + -1y) + 1y4 * (3x + -1y)) = 0 (12xy4 + -36x2y3 + (3x * 54x2y2 + -1y * 54x2y2) + -108x3y * (3x + -1y) + 81x4 * (3x + -1y) + 1y4 * (3x + -1y)) = 0 Reorder the terms: (12xy4 + -36x2y3 + (-54x2y3 + 162x3y2) + -108x3y * (3x + -1y) + 81x4 * (3x + -1y) + 1y4 * (3x + -1y)) = 0 (12xy4 + -36x2y3 + (-54x2y3 + 162x3y2) + -108x3y * (3x + -1y) + 81x4 * (3x + -1y) + 1y4 * (3x + -1y)) = 0 (12xy4 + -36x2y3 + -54x2y3 + 162x3y2 + (3x * -108x3y + -1y * -108x3y) + 81x4 * (3x + -1y) + 1y4 * (3x + -1y)) = 0 Reorder the terms: (12xy4 + -36x2y3 + -54x2y3 + 162x3y2 + (108x3y2 + -324x4y) + 81x4 * (3x + -1y) + 1y4 * (3x + -1y)) = 0 (12xy4 + -36x2y3 + -54x2y3 + 162x3y2 + (108x3y2 + -324x4y) + 81x4 * (3x + -1y) + 1y4 * (3x + -1y)) = 0 (12xy4 + -36x2y3 + -54x2y3 + 162x3y2 + 108x3y2 + -324x4y + (3x * 81x4 + -1y * 81x4) + 1y4 * (3x + -1y)) = 0 Reorder the terms: (12xy4 + -36x2y3 + -54x2y3 + 162x3y2 + 108x3y2 + -324x4y + (-81x4y + 243x5) + 1y4 * (3x + -1y)) = 0 (12xy4 + -36x2y3 + -54x2y3 + 162x3y2 + 108x3y2 + -324x4y + (-81x4y + 243x5) + 1y4 * (3x + -1y)) = 0 (12xy4 + -36x2y3 + -54x2y3 + 162x3y2 + 108x3y2 + -324x4y + -81x4y + 243x5 + (3x * 1y4 + -1y * 1y4)) = 0 (12xy4 + -36x2y3 + -54x2y3 + 162x3y2 + 108x3y2 + -324x4y + -81x4y + 243x5 + (3xy4 + -1y5)) = 0 Reorder the terms: (12xy4 + 3xy4 + -36x2y3 + -54x2y3 + 162x3y2 + 108x3y2 + -324x4y + -81x4y + 243x5 + -1y5) = 0 Combine like terms: 12xy4 + 3xy4 = 15xy4 (15xy4 + -36x2y3 + -54x2y3 + 162x3y2 + 108x3y2 + -324x4y + -81x4y + 243x5 + -1y5) = 0 Combine like terms: -36x2y3 + -54x2y3 = -90x2y3 (15xy4 + -90x2y3 + 162x3y2 + 108x3y2 + -324x4y + -81x4y + 243x5 + -1y5) = 0 Combine like terms: 162x3y2 + 108x3y2 = 270x3y2 (15xy4 + -90x2y3 + 270x3y2 + -324x4y + -81x4y + 243x5 + -1y5) = 0 Combine like terms: -324x4y + -81x4y = -405x4y (15xy4 + -90x2y3 + 270x3y2 + -405x4y + 243x5 + -1y5) = 0 Solving 15xy4 + -90x2y3 + 270x3y2 + -405x4y + 243x5 + -1y5 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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