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Simplifying (2x + -1y)(2x + -1y)(2x + -1y) = 0 Multiply (2x + -1y) * (2x + -1y) (2x * (2x + -1y) + -1y * (2x + -1y))(2x + -1y) = 0 ((2x * 2x + -1y * 2x) + -1y * (2x + -1y))(2x + -1y) = 0 Reorder the terms: ((-2xy + 4x2) + -1y * (2x + -1y))(2x + -1y) = 0 ((-2xy + 4x2) + -1y * (2x + -1y))(2x + -1y) = 0 (-2xy + 4x2 + (2x * -1y + -1y * -1y))(2x + -1y) = 0 (-2xy + 4x2 + (-2xy + 1y2))(2x + -1y) = 0 Reorder the terms: (-2xy + -2xy + 4x2 + 1y2)(2x + -1y) = 0 Combine like terms: -2xy + -2xy = -4xy (-4xy + 4x2 + 1y2)(2x + -1y) = 0 Multiply (-4xy + 4x2 + 1y2) * (2x + -1y) (-4xy * (2x + -1y) + 4x2 * (2x + -1y) + 1y2 * (2x + -1y)) = 0 ((2x * -4xy + -1y * -4xy) + 4x2 * (2x + -1y) + 1y2 * (2x + -1y)) = 0 Reorder the terms: ((4xy2 + -8x2y) + 4x2 * (2x + -1y) + 1y2 * (2x + -1y)) = 0 ((4xy2 + -8x2y) + 4x2 * (2x + -1y) + 1y2 * (2x + -1y)) = 0 (4xy2 + -8x2y + (2x * 4x2 + -1y * 4x2) + 1y2 * (2x + -1y)) = 0 Reorder the terms: (4xy2 + -8x2y + (-4x2y + 8x3) + 1y2 * (2x + -1y)) = 0 (4xy2 + -8x2y + (-4x2y + 8x3) + 1y2 * (2x + -1y)) = 0 (4xy2 + -8x2y + -4x2y + 8x3 + (2x * 1y2 + -1y * 1y2)) = 0 (4xy2 + -8x2y + -4x2y + 8x3 + (2xy2 + -1y3)) = 0 Reorder the terms: (4xy2 + 2xy2 + -8x2y + -4x2y + 8x3 + -1y3) = 0 Combine like terms: 4xy2 + 2xy2 = 6xy2 (6xy2 + -8x2y + -4x2y + 8x3 + -1y3) = 0 Combine like terms: -8x2y + -4x2y = -12x2y (6xy2 + -12x2y + 8x3 + -1y3) = 0 Solving 6xy2 + -12x2y + 8x3 + -1y3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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