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Simplifying (3x + 1)(6x2 + 6x + 7) = 0 Reorder the terms: (1 + 3x)(6x2 + 6x + 7) = 0 Reorder the terms: (1 + 3x)(7 + 6x + 6x2) = 0 Multiply (1 + 3x) * (7 + 6x + 6x2) (1(7 + 6x + 6x2) + 3x * (7 + 6x + 6x2)) = 0 ((7 * 1 + 6x * 1 + 6x2 * 1) + 3x * (7 + 6x + 6x2)) = 0 ((7 + 6x + 6x2) + 3x * (7 + 6x + 6x2)) = 0 (7 + 6x + 6x2 + (7 * 3x + 6x * 3x + 6x2 * 3x)) = 0 (7 + 6x + 6x2 + (21x + 18x2 + 18x3)) = 0 Reorder the terms: (7 + 6x + 21x + 6x2 + 18x2 + 18x3) = 0 Combine like terms: 6x + 21x = 27x (7 + 27x + 6x2 + 18x2 + 18x3) = 0 Combine like terms: 6x2 + 18x2 = 24x2 (7 + 27x + 24x2 + 18x3) = 0 Solving 7 + 27x + 24x2 + 18x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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