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Simplifying (6x + -1y)(6x + -1y)(6x + -1y)(6x + -1y)(6x + -1y) = 0 Multiply (6x + -1y) * (6x + -1y) (6x * (6x + -1y) + -1y * (6x + -1y))(6x + -1y)(6x + -1y)(6x + -1y) = 0 ((6x * 6x + -1y * 6x) + -1y * (6x + -1y))(6x + -1y)(6x + -1y)(6x + -1y) = 0 Reorder the terms: ((-6xy + 36x2) + -1y * (6x + -1y))(6x + -1y)(6x + -1y)(6x + -1y) = 0 ((-6xy + 36x2) + -1y * (6x + -1y))(6x + -1y)(6x + -1y)(6x + -1y) = 0 (-6xy + 36x2 + (6x * -1y + -1y * -1y))(6x + -1y)(6x + -1y)(6x + -1y) = 0 (-6xy + 36x2 + (-6xy + 1y2))(6x + -1y)(6x + -1y)(6x + -1y) = 0 Reorder the terms: (-6xy + -6xy + 36x2 + 1y2)(6x + -1y)(6x + -1y)(6x + -1y) = 0 Combine like terms: -6xy + -6xy = -12xy (-12xy + 36x2 + 1y2)(6x + -1y)(6x + -1y)(6x + -1y) = 0 Multiply (-12xy + 36x2 + 1y2) * (6x + -1y) (-12xy * (6x + -1y) + 36x2 * (6x + -1y) + 1y2 * (6x + -1y))(6x + -1y)(6x + -1y) = 0 ((6x * -12xy + -1y * -12xy) + 36x2 * (6x + -1y) + 1y2 * (6x + -1y))(6x + -1y)(6x + -1y) = 0 Reorder the terms: ((12xy2 + -72x2y) + 36x2 * (6x + -1y) + 1y2 * (6x + -1y))(6x + -1y)(6x + -1y) = 0 ((12xy2 + -72x2y) + 36x2 * (6x + -1y) + 1y2 * (6x + -1y))(6x + -1y)(6x + -1y) = 0 (12xy2 + -72x2y + (6x * 36x2 + -1y * 36x2) + 1y2 * (6x + -1y))(6x + -1y)(6x + -1y) = 0 Reorder the terms: (12xy2 + -72x2y + (-36x2y + 216x3) + 1y2 * (6x + -1y))(6x + -1y)(6x + -1y) = 0 (12xy2 + -72x2y + (-36x2y + 216x3) + 1y2 * (6x + -1y))(6x + -1y)(6x + -1y) = 0 (12xy2 + -72x2y + -36x2y + 216x3 + (6x * 1y2 + -1y * 1y2))(6x + -1y)(6x + -1y) = 0 (12xy2 + -72x2y + -36x2y + 216x3 + (6xy2 + -1y3))(6x + -1y)(6x + -1y) = 0 Reorder the terms: (12xy2 + 6xy2 + -72x2y + -36x2y + 216x3 + -1y3)(6x + -1y)(6x + -1y) = 0 Combine like terms: 12xy2 + 6xy2 = 18xy2 (18xy2 + -72x2y + -36x2y + 216x3 + -1y3)(6x + -1y)(6x + -1y) = 0 Combine like terms: -72x2y + -36x2y = -108x2y (18xy2 + -108x2y + 216x3 + -1y3)(6x + -1y)(6x + -1y) = 0 Multiply (18xy2 + -108x2y + 216x3 + -1y3) * (6x + -1y) (18xy2 * (6x + -1y) + -108x2y * (6x + -1y) + 216x3 * (6x + -1y) + -1y3 * (6x + -1y))(6x + -1y) = 0 ((6x * 18xy2 + -1y * 18xy2) + -108x2y * (6x + -1y) + 216x3 * (6x + -1y) + -1y3 * (6x + -1y))(6x + -1y) = 0 Reorder the terms: ((-18xy3 + 108x2y2) + -108x2y * (6x + -1y) + 216x3 * (6x + -1y) + -1y3 * (6x + -1y))(6x + -1y) = 0 ((-18xy3 + 108x2y2) + -108x2y * (6x + -1y) + 216x3 * (6x + -1y) + -1y3 * (6x + -1y))(6x + -1y) = 0 (-18xy3 + 108x2y2 + (6x * -108x2y + -1y * -108x2y) + 216x3 * (6x + -1y) + -1y3 * (6x + -1y))(6x + -1y) = 0 Reorder the terms: (-18xy3 + 108x2y2 + (108x2y2 + -648x3y) + 216x3 * (6x + -1y) + -1y3 * (6x + -1y))(6x + -1y) = 0 (-18xy3 + 108x2y2 + (108x2y2 + -648x3y) + 216x3 * (6x + -1y) + -1y3 * (6x + -1y))(6x + -1y) = 0 (-18xy3 + 108x2y2 + 108x2y2 + -648x3y + (6x * 216x3 + -1y * 216x3) + -1y3 * (6x + -1y))(6x + -1y) = 0 Reorder the terms: (-18xy3 + 108x2y2 + 108x2y2 + -648x3y + (-216x3y + 1296x4) + -1y3 * (6x + -1y))(6x + -1y) = 0 (-18xy3 + 108x2y2 + 108x2y2 + -648x3y + (-216x3y + 1296x4) + -1y3 * (6x + -1y))(6x + -1y) = 0 (-18xy3 + 108x2y2 + 108x2y2 + -648x3y + -216x3y + 1296x4 + (6x * -1y3 + -1y * -1y3))(6x + -1y) = 0 (-18xy3 + 108x2y2 + 108x2y2 + -648x3y + -216x3y + 1296x4 + (-6xy3 + 1y4))(6x + -1y) = 0 Reorder the terms: (-18xy3 + -6xy3 + 108x2y2 + 108x2y2 + -648x3y + -216x3y + 1296x4 + 1y4)(6x + -1y) = 0 Combine like terms: -18xy3 + -6xy3 = -24xy3 (-24xy3 + 108x2y2 + 108x2y2 + -648x3y + -216x3y + 1296x4 + 1y4)(6x + -1y) = 0 Combine like terms: 108x2y2 + 108x2y2 = 216x2y2 (-24xy3 + 216x2y2 + -648x3y + -216x3y + 1296x4 + 1y4)(6x + -1y) = 0 Combine like terms: -648x3y + -216x3y = -864x3y (-24xy3 + 216x2y2 + -864x3y + 1296x4 + 1y4)(6x + -1y) = 0 Multiply (-24xy3 + 216x2y2 + -864x3y + 1296x4 + 1y4) * (6x + -1y) (-24xy3 * (6x + -1y) + 216x2y2 * (6x + -1y) + -864x3y * (6x + -1y) + 1296x4 * (6x + -1y) + 1y4 * (6x + -1y)) = 0 ((6x * -24xy3 + -1y * -24xy3) + 216x2y2 * (6x + -1y) + -864x3y * (6x + -1y) + 1296x4 * (6x + -1y) + 1y4 * (6x + -1y)) = 0 Reorder the terms: ((24xy4 + -144x2y3) + 216x2y2 * (6x + -1y) + -864x3y * (6x + -1y) + 1296x4 * (6x + -1y) + 1y4 * (6x + -1y)) = 0 ((24xy4 + -144x2y3) + 216x2y2 * (6x + -1y) + -864x3y * (6x + -1y) + 1296x4 * (6x + -1y) + 1y4 * (6x + -1y)) = 0 (24xy4 + -144x2y3 + (6x * 216x2y2 + -1y * 216x2y2) + -864x3y * (6x + -1y) + 1296x4 * (6x + -1y) + 1y4 * (6x + -1y)) = 0 Reorder the terms: (24xy4 + -144x2y3 + (-216x2y3 + 1296x3y2) + -864x3y * (6x + -1y) + 1296x4 * (6x + -1y) + 1y4 * (6x + -1y)) = 0 (24xy4 + -144x2y3 + (-216x2y3 + 1296x3y2) + -864x3y * (6x + -1y) + 1296x4 * (6x + -1y) + 1y4 * (6x + -1y)) = 0 (24xy4 + -144x2y3 + -216x2y3 + 1296x3y2 + (6x * -864x3y + -1y * -864x3y) + 1296x4 * (6x + -1y) + 1y4 * (6x + -1y)) = 0 Reorder the terms: (24xy4 + -144x2y3 + -216x2y3 + 1296x3y2 + (864x3y2 + -5184x4y) + 1296x4 * (6x + -1y) + 1y4 * (6x + -1y)) = 0 (24xy4 + -144x2y3 + -216x2y3 + 1296x3y2 + (864x3y2 + -5184x4y) + 1296x4 * (6x + -1y) + 1y4 * (6x + -1y)) = 0 (24xy4 + -144x2y3 + -216x2y3 + 1296x3y2 + 864x3y2 + -5184x4y + (6x * 1296x4 + -1y * 1296x4) + 1y4 * (6x + -1y)) = 0 Reorder the terms: (24xy4 + -144x2y3 + -216x2y3 + 1296x3y2 + 864x3y2 + -5184x4y + (-1296x4y + 7776x5) + 1y4 * (6x + -1y)) = 0 (24xy4 + -144x2y3 + -216x2y3 + 1296x3y2 + 864x3y2 + -5184x4y + (-1296x4y + 7776x5) + 1y4 * (6x + -1y)) = 0 (24xy4 + -144x2y3 + -216x2y3 + 1296x3y2 + 864x3y2 + -5184x4y + -1296x4y + 7776x5 + (6x * 1y4 + -1y * 1y4)) = 0 (24xy4 + -144x2y3 + -216x2y3 + 1296x3y2 + 864x3y2 + -5184x4y + -1296x4y + 7776x5 + (6xy4 + -1y5)) = 0 Reorder the terms: (24xy4 + 6xy4 + -144x2y3 + -216x2y3 + 1296x3y2 + 864x3y2 + -5184x4y + -1296x4y + 7776x5 + -1y5) = 0 Combine like terms: 24xy4 + 6xy4 = 30xy4 (30xy4 + -144x2y3 + -216x2y3 + 1296x3y2 + 864x3y2 + -5184x4y + -1296x4y + 7776x5 + -1y5) = 0 Combine like terms: -144x2y3 + -216x2y3 = -360x2y3 (30xy4 + -360x2y3 + 1296x3y2 + 864x3y2 + -5184x4y + -1296x4y + 7776x5 + -1y5) = 0 Combine like terms: 1296x3y2 + 864x3y2 = 2160x3y2 (30xy4 + -360x2y3 + 2160x3y2 + -5184x4y + -1296x4y + 7776x5 + -1y5) = 0 Combine like terms: -5184x4y + -1296x4y = -6480x4y (30xy4 + -360x2y3 + 2160x3y2 + -6480x4y + 7776x5 + -1y5) = 0 Solving 30xy4 + -360x2y3 + 2160x3y2 + -6480x4y + 7776x5 + -1y5 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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