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Simplifying (x + 2y)(2x + -1y)(3x + -4y) = 0 Multiply (x + 2y) * (2x + -1y) (x(2x + -1y) + 2y * (2x + -1y))(3x + -4y) = 0 ((2x * x + -1y * x) + 2y * (2x + -1y))(3x + -4y) = 0 Reorder the terms: ((-1xy + 2x2) + 2y * (2x + -1y))(3x + -4y) = 0 ((-1xy + 2x2) + 2y * (2x + -1y))(3x + -4y) = 0 (-1xy + 2x2 + (2x * 2y + -1y * 2y))(3x + -4y) = 0 (-1xy + 2x2 + (4xy + -2y2))(3x + -4y) = 0 Reorder the terms: (-1xy + 4xy + 2x2 + -2y2)(3x + -4y) = 0 Combine like terms: -1xy + 4xy = 3xy (3xy + 2x2 + -2y2)(3x + -4y) = 0 Multiply (3xy + 2x2 + -2y2) * (3x + -4y) (3xy * (3x + -4y) + 2x2 * (3x + -4y) + -2y2 * (3x + -4y)) = 0 ((3x * 3xy + -4y * 3xy) + 2x2 * (3x + -4y) + -2y2 * (3x + -4y)) = 0 Reorder the terms: ((-12xy2 + 9x2y) + 2x2 * (3x + -4y) + -2y2 * (3x + -4y)) = 0 ((-12xy2 + 9x2y) + 2x2 * (3x + -4y) + -2y2 * (3x + -4y)) = 0 (-12xy2 + 9x2y + (3x * 2x2 + -4y * 2x2) + -2y2 * (3x + -4y)) = 0 Reorder the terms: (-12xy2 + 9x2y + (-8x2y + 6x3) + -2y2 * (3x + -4y)) = 0 (-12xy2 + 9x2y + (-8x2y + 6x3) + -2y2 * (3x + -4y)) = 0 (-12xy2 + 9x2y + -8x2y + 6x3 + (3x * -2y2 + -4y * -2y2)) = 0 (-12xy2 + 9x2y + -8x2y + 6x3 + (-6xy2 + 8y3)) = 0 Reorder the terms: (-12xy2 + -6xy2 + 9x2y + -8x2y + 6x3 + 8y3) = 0 Combine like terms: -12xy2 + -6xy2 = -18xy2 (-18xy2 + 9x2y + -8x2y + 6x3 + 8y3) = 0 Combine like terms: 9x2y + -8x2y = 1x2y (-18xy2 + 1x2y + 6x3 + 8y3) = 0 Solving -18xy2 + 1x2y + 6x3 + 8y3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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