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Simplifying a3x + -16ax3 = 0 Reorder the terms: -16ax3 + a3x = 0 Solving -16ax3 + a3x = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'ax'. ax(-16x2 + a2) = 0 Factor a difference between two squares. ax((4x + a)(-4x + a)) = 0Subproblem 1
Set the factor 'ax' equal to zero and attempt to solve: Simplifying ax = 0 Solving ax = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ax = 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 '(4x + a)' equal to zero and attempt to solve: Simplifying 4x + a = 0 Reorder the terms: a + 4x = 0 Solving a + 4x = 0 Move all terms containing a to the left, all other terms to the right. Add '-4x' to each side of the equation. a + 4x + -4x = 0 + -4x Combine like terms: 4x + -4x = 0 a + 0 = 0 + -4x a = 0 + -4x Remove the zero: a = -4x Simplifying a = -4xSubproblem 3
Set the factor '(-4x + a)' equal to zero and attempt to solve: Simplifying -4x + a = 0 Reorder the terms: a + -4x = 0 Solving a + -4x = 0 Move all terms containing a to the left, all other terms to the right. Add '4x' to each side of the equation. a + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 a + 0 = 0 + 4x a = 0 + 4x Remove the zero: a = 4x Simplifying a = 4xSolution
a = {-4x, 4x}
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