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Simplifying 12a3 + 8a = 0 Reorder the terms: 8a + 12a3 = 0 Solving 8a + 12a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(2 + 3a2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(2 + 3a2)' equal to zero and attempt to solve: Simplifying 2 + 3a2 = 0 Solving 2 + 3a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3a2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3a2 = 0 + -2 3a2 = 0 + -2 Combine like terms: 0 + -2 = -2 3a2 = -2 Divide each side by '3'. a2 = -0.6666666667 Simplifying a2 = -0.6666666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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