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Simplifying (3x + 2)(4x2 + 5x + 7) = 0 Reorder the terms: (2 + 3x)(4x2 + 5x + 7) = 0 Reorder the terms: (2 + 3x)(7 + 5x + 4x2) = 0 Multiply (2 + 3x) * (7 + 5x + 4x2) (2(7 + 5x + 4x2) + 3x * (7 + 5x + 4x2)) = 0 ((7 * 2 + 5x * 2 + 4x2 * 2) + 3x * (7 + 5x + 4x2)) = 0 ((14 + 10x + 8x2) + 3x * (7 + 5x + 4x2)) = 0 (14 + 10x + 8x2 + (7 * 3x + 5x * 3x + 4x2 * 3x)) = 0 (14 + 10x + 8x2 + (21x + 15x2 + 12x3)) = 0 Reorder the terms: (14 + 10x + 21x + 8x2 + 15x2 + 12x3) = 0 Combine like terms: 10x + 21x = 31x (14 + 31x + 8x2 + 15x2 + 12x3) = 0 Combine like terms: 8x2 + 15x2 = 23x2 (14 + 31x + 23x2 + 12x3) = 0 Solving 14 + 31x + 23x2 + 12x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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