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Simplifying (6a + 2)(4a2 + 2a + 3) = 0 Reorder the terms: (2 + 6a)(4a2 + 2a + 3) = 0 Reorder the terms: (2 + 6a)(3 + 2a + 4a2) = 0 Multiply (2 + 6a) * (3 + 2a + 4a2) (2(3 + 2a + 4a2) + 6a * (3 + 2a + 4a2)) = 0 ((3 * 2 + 2a * 2 + 4a2 * 2) + 6a * (3 + 2a + 4a2)) = 0 ((6 + 4a + 8a2) + 6a * (3 + 2a + 4a2)) = 0 (6 + 4a + 8a2 + (3 * 6a + 2a * 6a + 4a2 * 6a)) = 0 (6 + 4a + 8a2 + (18a + 12a2 + 24a3)) = 0 Reorder the terms: (6 + 4a + 18a + 8a2 + 12a2 + 24a3) = 0 Combine like terms: 4a + 18a = 22a (6 + 22a + 8a2 + 12a2 + 24a3) = 0 Combine like terms: 8a2 + 12a2 = 20a2 (6 + 22a + 20a2 + 24a3) = 0 Solving 6 + 22a + 20a2 + 24a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(3 + 11a + 10a2 + 12a3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + 11a + 10a2 + 12a3)' equal to zero and attempt to solve: Simplifying 3 + 11a + 10a2 + 12a3 = 0 Solving 3 + 11a + 10a2 + 12a3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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