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Simplifying (4a + 4)(4a + 4)(4a + 4) = 0 Reorder the terms: (4 + 4a)(4a + 4)(4a + 4) = 0 Reorder the terms: (4 + 4a)(4 + 4a)(4a + 4) = 0 Reorder the terms: (4 + 4a)(4 + 4a)(4 + 4a) = 0 Multiply (4 + 4a) * (4 + 4a) (4(4 + 4a) + 4a * (4 + 4a))(4 + 4a) = 0 ((4 * 4 + 4a * 4) + 4a * (4 + 4a))(4 + 4a) = 0 ((16 + 16a) + 4a * (4 + 4a))(4 + 4a) = 0 (16 + 16a + (4 * 4a + 4a * 4a))(4 + 4a) = 0 (16 + 16a + (16a + 16a2))(4 + 4a) = 0 Combine like terms: 16a + 16a = 32a (16 + 32a + 16a2)(4 + 4a) = 0 Multiply (16 + 32a + 16a2) * (4 + 4a) (16(4 + 4a) + 32a * (4 + 4a) + 16a2 * (4 + 4a)) = 0 ((4 * 16 + 4a * 16) + 32a * (4 + 4a) + 16a2 * (4 + 4a)) = 0 ((64 + 64a) + 32a * (4 + 4a) + 16a2 * (4 + 4a)) = 0 (64 + 64a + (4 * 32a + 4a * 32a) + 16a2 * (4 + 4a)) = 0 (64 + 64a + (128a + 128a2) + 16a2 * (4 + 4a)) = 0 (64 + 64a + 128a + 128a2 + (4 * 16a2 + 4a * 16a2)) = 0 (64 + 64a + 128a + 128a2 + (64a2 + 64a3)) = 0 Combine like terms: 64a + 128a = 192a (64 + 192a + 128a2 + 64a2 + 64a3) = 0 Combine like terms: 128a2 + 64a2 = 192a2 (64 + 192a + 192a2 + 64a3) = 0 Solving 64 + 192a + 192a2 + 64a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '64'. 64(1 + 3a + 3a2 + a3) = 0 Ignore the factor 64.Subproblem 1
Set the factor '(1 + 3a + 3a2 + a3)' equal to zero and attempt to solve: Simplifying 1 + 3a + 3a2 + a3 = 0 Solving 1 + 3a + 3a2 + a3 = 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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