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Simplifying (3x + 1)(x + 5)(2x + -1) = 0 Reorder the terms: (1 + 3x)(x + 5)(2x + -1) = 0 Reorder the terms: (1 + 3x)(5 + x)(2x + -1) = 0 Reorder the terms: (1 + 3x)(5 + x)(-1 + 2x) = 0 Multiply (1 + 3x) * (5 + x) (1(5 + x) + 3x * (5 + x))(-1 + 2x) = 0 ((5 * 1 + x * 1) + 3x * (5 + x))(-1 + 2x) = 0 ((5 + 1x) + 3x * (5 + x))(-1 + 2x) = 0 (5 + 1x + (5 * 3x + x * 3x))(-1 + 2x) = 0 (5 + 1x + (15x + 3x2))(-1 + 2x) = 0 Combine like terms: 1x + 15x = 16x (5 + 16x + 3x2)(-1 + 2x) = 0 Multiply (5 + 16x + 3x2) * (-1 + 2x) (5(-1 + 2x) + 16x * (-1 + 2x) + 3x2 * (-1 + 2x)) = 0 ((-1 * 5 + 2x * 5) + 16x * (-1 + 2x) + 3x2 * (-1 + 2x)) = 0 ((-5 + 10x) + 16x * (-1 + 2x) + 3x2 * (-1 + 2x)) = 0 (-5 + 10x + (-1 * 16x + 2x * 16x) + 3x2 * (-1 + 2x)) = 0 (-5 + 10x + (-16x + 32x2) + 3x2 * (-1 + 2x)) = 0 (-5 + 10x + -16x + 32x2 + (-1 * 3x2 + 2x * 3x2)) = 0 (-5 + 10x + -16x + 32x2 + (-3x2 + 6x3)) = 0 Combine like terms: 10x + -16x = -6x (-5 + -6x + 32x2 + -3x2 + 6x3) = 0 Combine like terms: 32x2 + -3x2 = 29x2 (-5 + -6x + 29x2 + 6x3) = 0 Solving -5 + -6x + 29x2 + 6x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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