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