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Simplifying a3 + -16ab2 = 0 Reorder the terms: -16ab2 + a3 = 0 Solving -16ab2 + a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-16b2 + a2) = 0 Factor a difference between two squares. a((4b + a)(-4b + a)) = 0Subproblem 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 '(4b + a)' equal to zero and attempt to solve: Simplifying 4b + a = 0 Reorder the terms: a + 4b = 0 Solving a + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 a + 0 = 0 + -4b a = 0 + -4b Remove the zero: a = -4b Simplifying a = -4bSubproblem 3
Set the factor '(-4b + a)' equal to zero and attempt to solve: Simplifying -4b + a = 0 Reorder the terms: a + -4b = 0 Solving a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 a + 0 = 0 + 4b a = 0 + 4b Remove the zero: a = 4b Simplifying a = 4bSolution
a = {0, -4b, 4b}
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