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Simplifying a3x + -9ax3 = 0 Reorder the terms: -9ax3 + a3x = 0 Solving -9ax3 + a3x = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'ax'. ax(-9x2 + a2) = 0 Factor a difference between two squares. ax((3x + a)(-3x + 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 '(3x + a)' equal to zero and attempt to solve: Simplifying 3x + a = 0 Reorder the terms: a + 3x = 0 Solving a + 3x = 0 Move all terms containing a to the left, all other terms to the right. Add '-3x' to each side of the equation. a + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 a + 0 = 0 + -3x a = 0 + -3x Remove the zero: a = -3x Simplifying a = -3xSubproblem 3
Set the factor '(-3x + a)' equal to zero and attempt to solve: Simplifying -3x + a = 0 Reorder the terms: a + -3x = 0 Solving a + -3x = 0 Move all terms containing a to the left, all other terms to the right. Add '3x' to each side of the equation. a + -3x + 3x = 0 + 3x Combine like terms: -3x + 3x = 0 a + 0 = 0 + 3x a = 0 + 3x Remove the zero: a = 3x Simplifying a = 3xSolution
a = {-3x, 3x}
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