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Simplifying (x + 3)(x + 5)(5x + 2) = 0 Reorder the terms: (3 + x)(x + 5)(5x + 2) = 0 Reorder the terms: (3 + x)(5 + x)(5x + 2) = 0 Reorder the terms: (3 + x)(5 + x)(2 + 5x) = 0 Multiply (3 + x) * (5 + x) (3(5 + x) + x(5 + x))(2 + 5x) = 0 ((5 * 3 + x * 3) + x(5 + x))(2 + 5x) = 0 ((15 + 3x) + x(5 + x))(2 + 5x) = 0 (15 + 3x + (5 * x + x * x))(2 + 5x) = 0 (15 + 3x + (5x + x2))(2 + 5x) = 0 Combine like terms: 3x + 5x = 8x (15 + 8x + x2)(2 + 5x) = 0 Multiply (15 + 8x + x2) * (2 + 5x) (15(2 + 5x) + 8x * (2 + 5x) + x2(2 + 5x)) = 0 ((2 * 15 + 5x * 15) + 8x * (2 + 5x) + x2(2 + 5x)) = 0 ((30 + 75x) + 8x * (2 + 5x) + x2(2 + 5x)) = 0 (30 + 75x + (2 * 8x + 5x * 8x) + x2(2 + 5x)) = 0 (30 + 75x + (16x + 40x2) + x2(2 + 5x)) = 0 (30 + 75x + 16x + 40x2 + (2 * x2 + 5x * x2)) = 0 (30 + 75x + 16x + 40x2 + (2x2 + 5x3)) = 0 Combine like terms: 75x + 16x = 91x (30 + 91x + 40x2 + 2x2 + 5x3) = 0 Combine like terms: 40x2 + 2x2 = 42x2 (30 + 91x + 42x2 + 5x3) = 0 Solving 30 + 91x + 42x2 + 5x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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