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Simplifying 3a * 9a2 + 3a * 18a + 3a * 9 + 3 * 9a2 + 3 * 18a + 3 * 9 = 0 Reorder the terms for easier multiplication: 3 * 9a * a2 + 3a * 18a + 3a * 9 + 3 * 9a2 + 3 * 18a + 3 * 9 = 0 Multiply 3 * 9 27a * a2 + 3a * 18a + 3a * 9 + 3 * 9a2 + 3 * 18a + 3 * 9 = 0 Multiply a * a2 27a3 + 3a * 18a + 3a * 9 + 3 * 9a2 + 3 * 18a + 3 * 9 = 0 Reorder the terms for easier multiplication: 27a3 + 3 * 18a * a + 3a * 9 + 3 * 9a2 + 3 * 18a + 3 * 9 = 0 Multiply 3 * 18 27a3 + 54a * a + 3a * 9 + 3 * 9a2 + 3 * 18a + 3 * 9 = 0 Multiply a * a 27a3 + 54a2 + 3a * 9 + 3 * 9a2 + 3 * 18a + 3 * 9 = 0 Reorder the terms for easier multiplication: 27a3 + 54a2 + 3 * 9a + 3 * 9a2 + 3 * 18a + 3 * 9 = 0 Multiply 3 * 9 27a3 + 54a2 + 27a + 3 * 9a2 + 3 * 18a + 3 * 9 = 0 Multiply 3 * 9 27a3 + 54a2 + 27a + 27a2 + 3 * 18a + 3 * 9 = 0 Multiply 3 * 18 27a3 + 54a2 + 27a + 27a2 + 54a + 3 * 9 = 0 Multiply 3 * 9 27a3 + 54a2 + 27a + 27a2 + 54a + 27 = 0 Reorder the terms: 27 + 27a + 54a + 54a2 + 27a2 + 27a3 = 0 Combine like terms: 27a + 54a = 81a 27 + 81a + 54a2 + 27a2 + 27a3 = 0 Combine like terms: 54a2 + 27a2 = 81a2 27 + 81a + 81a2 + 27a3 = 0 Solving 27 + 81a + 81a2 + 27a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '27'. 27(1 + 3a + 3a2 + a3) = 0 Ignore the factor 27.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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