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Simplifying (2a + 1)(4a2 + 4a + 1) = 0 Reorder the terms: (1 + 2a)(4a2 + 4a + 1) = 0 Reorder the terms: (1 + 2a)(1 + 4a + 4a2) = 0 Multiply (1 + 2a) * (1 + 4a + 4a2) (1(1 + 4a + 4a2) + 2a * (1 + 4a + 4a2)) = 0 ((1 * 1 + 4a * 1 + 4a2 * 1) + 2a * (1 + 4a + 4a2)) = 0 ((1 + 4a + 4a2) + 2a * (1 + 4a + 4a2)) = 0 (1 + 4a + 4a2 + (1 * 2a + 4a * 2a + 4a2 * 2a)) = 0 (1 + 4a + 4a2 + (2a + 8a2 + 8a3)) = 0 Reorder the terms: (1 + 4a + 2a + 4a2 + 8a2 + 8a3) = 0 Combine like terms: 4a + 2a = 6a (1 + 6a + 4a2 + 8a2 + 8a3) = 0 Combine like terms: 4a2 + 8a2 = 12a2 (1 + 6a + 12a2 + 8a3) = 0 Solving 1 + 6a + 12a2 + 8a3 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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