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Simplifying (3x + 2y)(3x + 2y)(3x + 2y) = 0 Multiply (3x + 2y) * (3x + 2y) (3x * (3x + 2y) + 2y * (3x + 2y))(3x + 2y) = 0 ((3x * 3x + 2y * 3x) + 2y * (3x + 2y))(3x + 2y) = 0 Reorder the terms: ((6xy + 9x2) + 2y * (3x + 2y))(3x + 2y) = 0 ((6xy + 9x2) + 2y * (3x + 2y))(3x + 2y) = 0 (6xy + 9x2 + (3x * 2y + 2y * 2y))(3x + 2y) = 0 (6xy + 9x2 + (6xy + 4y2))(3x + 2y) = 0 Reorder the terms: (6xy + 6xy + 9x2 + 4y2)(3x + 2y) = 0 Combine like terms: 6xy + 6xy = 12xy (12xy + 9x2 + 4y2)(3x + 2y) = 0 Multiply (12xy + 9x2 + 4y2) * (3x + 2y) (12xy * (3x + 2y) + 9x2 * (3x + 2y) + 4y2 * (3x + 2y)) = 0 ((3x * 12xy + 2y * 12xy) + 9x2 * (3x + 2y) + 4y2 * (3x + 2y)) = 0 Reorder the terms: ((24xy2 + 36x2y) + 9x2 * (3x + 2y) + 4y2 * (3x + 2y)) = 0 ((24xy2 + 36x2y) + 9x2 * (3x + 2y) + 4y2 * (3x + 2y)) = 0 (24xy2 + 36x2y + (3x * 9x2 + 2y * 9x2) + 4y2 * (3x + 2y)) = 0 Reorder the terms: (24xy2 + 36x2y + (18x2y + 27x3) + 4y2 * (3x + 2y)) = 0 (24xy2 + 36x2y + (18x2y + 27x3) + 4y2 * (3x + 2y)) = 0 (24xy2 + 36x2y + 18x2y + 27x3 + (3x * 4y2 + 2y * 4y2)) = 0 (24xy2 + 36x2y + 18x2y + 27x3 + (12xy2 + 8y3)) = 0 Reorder the terms: (24xy2 + 12xy2 + 36x2y + 18x2y + 27x3 + 8y3) = 0 Combine like terms: 24xy2 + 12xy2 = 36xy2 (36xy2 + 36x2y + 18x2y + 27x3 + 8y3) = 0 Combine like terms: 36x2y + 18x2y = 54x2y (36xy2 + 54x2y + 27x3 + 8y3) = 0 Solving 36xy2 + 54x2y + 27x3 + 8y3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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