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Simplifying (3x + -1)(x + 6)(2x + 7) = 0 Reorder the terms: (-1 + 3x)(x + 6)(2x + 7) = 0 Reorder the terms: (-1 + 3x)(6 + x)(2x + 7) = 0 Reorder the terms: (-1 + 3x)(6 + x)(7 + 2x) = 0 Multiply (-1 + 3x) * (6 + x) (-1(6 + x) + 3x * (6 + x))(7 + 2x) = 0 ((6 * -1 + x * -1) + 3x * (6 + x))(7 + 2x) = 0 ((-6 + -1x) + 3x * (6 + x))(7 + 2x) = 0 (-6 + -1x + (6 * 3x + x * 3x))(7 + 2x) = 0 (-6 + -1x + (18x + 3x2))(7 + 2x) = 0 Combine like terms: -1x + 18x = 17x (-6 + 17x + 3x2)(7 + 2x) = 0 Multiply (-6 + 17x + 3x2) * (7 + 2x) (-6(7 + 2x) + 17x * (7 + 2x) + 3x2 * (7 + 2x)) = 0 ((7 * -6 + 2x * -6) + 17x * (7 + 2x) + 3x2 * (7 + 2x)) = 0 ((-42 + -12x) + 17x * (7 + 2x) + 3x2 * (7 + 2x)) = 0 (-42 + -12x + (7 * 17x + 2x * 17x) + 3x2 * (7 + 2x)) = 0 (-42 + -12x + (119x + 34x2) + 3x2 * (7 + 2x)) = 0 (-42 + -12x + 119x + 34x2 + (7 * 3x2 + 2x * 3x2)) = 0 (-42 + -12x + 119x + 34x2 + (21x2 + 6x3)) = 0 Combine like terms: -12x + 119x = 107x (-42 + 107x + 34x2 + 21x2 + 6x3) = 0 Combine like terms: 34x2 + 21x2 = 55x2 (-42 + 107x + 55x2 + 6x3) = 0 Solving -42 + 107x + 55x2 + 6x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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