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Simplifying (3x + 5y)(3x + 5y)(3x + 5y) = 0 Multiply (3x + 5y) * (3x + 5y) (3x * (3x + 5y) + 5y * (3x + 5y))(3x + 5y) = 0 ((3x * 3x + 5y * 3x) + 5y * (3x + 5y))(3x + 5y) = 0 Reorder the terms: ((15xy + 9x2) + 5y * (3x + 5y))(3x + 5y) = 0 ((15xy + 9x2) + 5y * (3x + 5y))(3x + 5y) = 0 (15xy + 9x2 + (3x * 5y + 5y * 5y))(3x + 5y) = 0 (15xy + 9x2 + (15xy + 25y2))(3x + 5y) = 0 Reorder the terms: (15xy + 15xy + 9x2 + 25y2)(3x + 5y) = 0 Combine like terms: 15xy + 15xy = 30xy (30xy + 9x2 + 25y2)(3x + 5y) = 0 Multiply (30xy + 9x2 + 25y2) * (3x + 5y) (30xy * (3x + 5y) + 9x2 * (3x + 5y) + 25y2 * (3x + 5y)) = 0 ((3x * 30xy + 5y * 30xy) + 9x2 * (3x + 5y) + 25y2 * (3x + 5y)) = 0 Reorder the terms: ((150xy2 + 90x2y) + 9x2 * (3x + 5y) + 25y2 * (3x + 5y)) = 0 ((150xy2 + 90x2y) + 9x2 * (3x + 5y) + 25y2 * (3x + 5y)) = 0 (150xy2 + 90x2y + (3x * 9x2 + 5y * 9x2) + 25y2 * (3x + 5y)) = 0 Reorder the terms: (150xy2 + 90x2y + (45x2y + 27x3) + 25y2 * (3x + 5y)) = 0 (150xy2 + 90x2y + (45x2y + 27x3) + 25y2 * (3x + 5y)) = 0 (150xy2 + 90x2y + 45x2y + 27x3 + (3x * 25y2 + 5y * 25y2)) = 0 (150xy2 + 90x2y + 45x2y + 27x3 + (75xy2 + 125y3)) = 0 Reorder the terms: (150xy2 + 75xy2 + 90x2y + 45x2y + 27x3 + 125y3) = 0 Combine like terms: 150xy2 + 75xy2 = 225xy2 (225xy2 + 90x2y + 45x2y + 27x3 + 125y3) = 0 Combine like terms: 90x2y + 45x2y = 135x2y (225xy2 + 135x2y + 27x3 + 125y3) = 0 Solving 225xy2 + 135x2y + 27x3 + 125y3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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