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Simplifying (2x + 1)(4x2 + x + 1) = 0 Reorder the terms: (1 + 2x)(4x2 + x + 1) = 0 Reorder the terms: (1 + 2x)(1 + x + 4x2) = 0 Multiply (1 + 2x) * (1 + x + 4x2) (1(1 + x + 4x2) + 2x * (1 + x + 4x2)) = 0 ((1 * 1 + x * 1 + 4x2 * 1) + 2x * (1 + x + 4x2)) = 0 ((1 + 1x + 4x2) + 2x * (1 + x + 4x2)) = 0 (1 + 1x + 4x2 + (1 * 2x + x * 2x + 4x2 * 2x)) = 0 (1 + 1x + 4x2 + (2x + 2x2 + 8x3)) = 0 Reorder the terms: (1 + 1x + 2x + 4x2 + 2x2 + 8x3) = 0 Combine like terms: 1x + 2x = 3x (1 + 3x + 4x2 + 2x2 + 8x3) = 0 Combine like terms: 4x2 + 2x2 = 6x2 (1 + 3x + 6x2 + 8x3) = 0 Solving 1 + 3x + 6x2 + 8x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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