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Simplifying (5x + 3y)(2y + 3x) = 8 Reorder the terms: (5x + 3y)(3x + 2y) = 8 Multiply (5x + 3y) * (3x + 2y) (5x * (3x + 2y) + 3y * (3x + 2y)) = 8 ((3x * 5x + 2y * 5x) + 3y * (3x + 2y)) = 8 Reorder the terms: ((10xy + 15x2) + 3y * (3x + 2y)) = 8 ((10xy + 15x2) + 3y * (3x + 2y)) = 8 (10xy + 15x2 + (3x * 3y + 2y * 3y)) = 8 (10xy + 15x2 + (9xy + 6y2)) = 8 Reorder the terms: (10xy + 9xy + 15x2 + 6y2) = 8 Combine like terms: 10xy + 9xy = 19xy (19xy + 15x2 + 6y2) = 8 Solving 19xy + 15x2 + 6y2 = 8 Solving for variable 'x'. Reorder the terms: -8 + 19xy + 15x2 + 6y2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 19xy + 15x2 + 6y2 = 0 The solution to this equation could not be determined.
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