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Simplifying 3ba3 + -12b3a = 0 Reorder the terms: -12ab3 + 3a3b = 0 Solving -12ab3 + 3a3b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3ab'. 3ab(-4b2 + a2) = 0 Factor a difference between two squares. 3ab((2b + a)(-2b + a)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 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 '(2b + a)' equal to zero and attempt to solve: Simplifying 2b + a = 0 Reorder the terms: a + 2b = 0 Solving a + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 a + 0 = 0 + -2b a = 0 + -2b Remove the zero: a = -2b Simplifying a = -2bSubproblem 3
Set the factor '(-2b + a)' equal to zero and attempt to solve: Simplifying -2b + a = 0 Reorder the terms: a + -2b = 0 Solving a + -2b = 0 Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. a + -2b + 2b = 0 + 2b Combine like terms: -2b + 2b = 0 a + 0 = 0 + 2b a = 0 + 2b Remove the zero: a = 2b Simplifying a = 2bSolution
a = {-2b, 2b}
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