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Simplifying (3x + 4)(6x2 + 7x + 8) = 0 Reorder the terms: (4 + 3x)(6x2 + 7x + 8) = 0 Reorder the terms: (4 + 3x)(8 + 7x + 6x2) = 0 Multiply (4 + 3x) * (8 + 7x + 6x2) (4(8 + 7x + 6x2) + 3x * (8 + 7x + 6x2)) = 0 ((8 * 4 + 7x * 4 + 6x2 * 4) + 3x * (8 + 7x + 6x2)) = 0 ((32 + 28x + 24x2) + 3x * (8 + 7x + 6x2)) = 0 (32 + 28x + 24x2 + (8 * 3x + 7x * 3x + 6x2 * 3x)) = 0 (32 + 28x + 24x2 + (24x + 21x2 + 18x3)) = 0 Reorder the terms: (32 + 28x + 24x + 24x2 + 21x2 + 18x3) = 0 Combine like terms: 28x + 24x = 52x (32 + 52x + 24x2 + 21x2 + 18x3) = 0 Combine like terms: 24x2 + 21x2 = 45x2 (32 + 52x + 45x2 + 18x3) = 0 Solving 32 + 52x + 45x2 + 18x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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