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Simplifying a3 = 36a Solving a3 = 36a Solving for variable 'a'. Reorder the terms: -36a + a3 = 36a + -36a Combine like terms: 36a + -36a = 0 -36a + a3 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(-36 + a2) = 0 Factor a difference between two squares. a((6 + a)(-6 + 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 '(6 + a)' equal to zero and attempt to solve: Simplifying 6 + a = 0 Solving 6 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + a = 0 + -6 a = 0 + -6 Combine like terms: 0 + -6 = -6 a = -6 Simplifying a = -6Subproblem 3
Set the factor '(-6 + a)' equal to zero and attempt to solve: Simplifying -6 + a = 0 Solving -6 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + a = 0 + 6 Combine like terms: -6 + 6 = 0 0 + a = 0 + 6 a = 0 + 6 Combine like terms: 0 + 6 = 6 a = 6 Simplifying a = 6Solution
a = {0, -6, 6}
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