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Simplifying (5x + 2y)(5x + 2y)(5x + 2y) = 0 Multiply (5x + 2y) * (5x + 2y) (5x * (5x + 2y) + 2y * (5x + 2y))(5x + 2y) = 0 ((5x * 5x + 2y * 5x) + 2y * (5x + 2y))(5x + 2y) = 0 Reorder the terms: ((10xy + 25x2) + 2y * (5x + 2y))(5x + 2y) = 0 ((10xy + 25x2) + 2y * (5x + 2y))(5x + 2y) = 0 (10xy + 25x2 + (5x * 2y + 2y * 2y))(5x + 2y) = 0 (10xy + 25x2 + (10xy + 4y2))(5x + 2y) = 0 Reorder the terms: (10xy + 10xy + 25x2 + 4y2)(5x + 2y) = 0 Combine like terms: 10xy + 10xy = 20xy (20xy + 25x2 + 4y2)(5x + 2y) = 0 Multiply (20xy + 25x2 + 4y2) * (5x + 2y) (20xy * (5x + 2y) + 25x2 * (5x + 2y) + 4y2 * (5x + 2y)) = 0 ((5x * 20xy + 2y * 20xy) + 25x2 * (5x + 2y) + 4y2 * (5x + 2y)) = 0 Reorder the terms: ((40xy2 + 100x2y) + 25x2 * (5x + 2y) + 4y2 * (5x + 2y)) = 0 ((40xy2 + 100x2y) + 25x2 * (5x + 2y) + 4y2 * (5x + 2y)) = 0 (40xy2 + 100x2y + (5x * 25x2 + 2y * 25x2) + 4y2 * (5x + 2y)) = 0 Reorder the terms: (40xy2 + 100x2y + (50x2y + 125x3) + 4y2 * (5x + 2y)) = 0 (40xy2 + 100x2y + (50x2y + 125x3) + 4y2 * (5x + 2y)) = 0 (40xy2 + 100x2y + 50x2y + 125x3 + (5x * 4y2 + 2y * 4y2)) = 0 (40xy2 + 100x2y + 50x2y + 125x3 + (20xy2 + 8y3)) = 0 Reorder the terms: (40xy2 + 20xy2 + 100x2y + 50x2y + 125x3 + 8y3) = 0 Combine like terms: 40xy2 + 20xy2 = 60xy2 (60xy2 + 100x2y + 50x2y + 125x3 + 8y3) = 0 Combine like terms: 100x2y + 50x2y = 150x2y (60xy2 + 150x2y + 125x3 + 8y3) = 0 Solving 60xy2 + 150x2y + 125x3 + 8y3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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