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Simplifying (x2 + 5x + 1)(3x + 2) = 0 Reorder the terms: (1 + 5x + x2)(3x + 2) = 0 Reorder the terms: (1 + 5x + x2)(2 + 3x) = 0 Multiply (1 + 5x + x2) * (2 + 3x) (1(2 + 3x) + 5x * (2 + 3x) + x2(2 + 3x)) = 0 ((2 * 1 + 3x * 1) + 5x * (2 + 3x) + x2(2 + 3x)) = 0 ((2 + 3x) + 5x * (2 + 3x) + x2(2 + 3x)) = 0 (2 + 3x + (2 * 5x + 3x * 5x) + x2(2 + 3x)) = 0 (2 + 3x + (10x + 15x2) + x2(2 + 3x)) = 0 (2 + 3x + 10x + 15x2 + (2 * x2 + 3x * x2)) = 0 (2 + 3x + 10x + 15x2 + (2x2 + 3x3)) = 0 Combine like terms: 3x + 10x = 13x (2 + 13x + 15x2 + 2x2 + 3x3) = 0 Combine like terms: 15x2 + 2x2 = 17x2 (2 + 13x + 17x2 + 3x3) = 0 Solving 2 + 13x + 17x2 + 3x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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