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Simplifying (4x + 5y)(16x2 + 20xy + 25y2) = 0 Reorder the terms: (4x + 5y)(20xy + 16x2 + 25y2) = 0 Multiply (4x + 5y) * (20xy + 16x2 + 25y2) (4x * (20xy + 16x2 + 25y2) + 5y * (20xy + 16x2 + 25y2)) = 0 ((20xy * 4x + 16x2 * 4x + 25y2 * 4x) + 5y * (20xy + 16x2 + 25y2)) = 0 Reorder the terms: ((100xy2 + 80x2y + 64x3) + 5y * (20xy + 16x2 + 25y2)) = 0 ((100xy2 + 80x2y + 64x3) + 5y * (20xy + 16x2 + 25y2)) = 0 (100xy2 + 80x2y + 64x3 + (20xy * 5y + 16x2 * 5y + 25y2 * 5y)) = 0 (100xy2 + 80x2y + 64x3 + (100xy2 + 80x2y + 125y3)) = 0 Reorder the terms: (100xy2 + 100xy2 + 80x2y + 80x2y + 64x3 + 125y3) = 0 Combine like terms: 100xy2 + 100xy2 = 200xy2 (200xy2 + 80x2y + 80x2y + 64x3 + 125y3) = 0 Combine like terms: 80x2y + 80x2y = 160x2y (200xy2 + 160x2y + 64x3 + 125y3) = 0 Solving 200xy2 + 160x2y + 64x3 + 125y3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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