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Simplifying 3a3 + -12ab3 = 0 Reorder the terms: -12ab3 + 3a3 = 0 Solving -12ab3 + 3a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(-4b3 + a2) = 0 Ignore the factor 3.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 '(-4b3 + a2)' equal to zero and attempt to solve: Simplifying -4b3 + a2 = 0 Reorder the terms: a2 + -4b3 = 0 Solving a2 + -4b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '4b3' to each side of the equation. a2 + -4b3 + 4b3 = 0 + 4b3 Combine like terms: -4b3 + 4b3 = 0 a2 + 0 = 0 + 4b3 a2 = 0 + 4b3 Remove the zero: a2 = 4b3 Simplifying a2 = 4b3 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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