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Simplifying 2a3(3a + 1) = 0 Reorder the terms: 2a3(1 + 3a) = 0 (1 * 2a3 + 3a * 2a3) = 0 (2a3 + 6a4) = 0 Solving 2a3 + 6a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a3'. 2a3(1 + 3a) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a3' equal to zero and attempt to solve: Simplifying a3 = 0 Solving a3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 3a)' equal to zero and attempt to solve: Simplifying 1 + 3a = 0 Solving 1 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3a = 0 + -1 3a = 0 + -1 Combine like terms: 0 + -1 = -1 3a = -1 Divide each side by '3'. a = -0.3333333333 Simplifying a = -0.3333333333Solution
a = {-0.3333333333}
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