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Simplifying 81a + -121a3 = 0 Solving 81a + -121a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(81 + -121a2) = 0 Factor a difference between two squares. a((9 + 11a)(9 + -11a)) = 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 '(9 + 11a)' equal to zero and attempt to solve: Simplifying 9 + 11a = 0 Solving 9 + 11a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 11a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 11a = 0 + -9 11a = 0 + -9 Combine like terms: 0 + -9 = -9 11a = -9 Divide each side by '11'. a = -0.8181818182 Simplifying a = -0.8181818182Subproblem 3
Set the factor '(9 + -11a)' equal to zero and attempt to solve: Simplifying 9 + -11a = 0 Solving 9 + -11a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -11a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -11a = 0 + -9 -11a = 0 + -9 Combine like terms: 0 + -9 = -9 -11a = -9 Divide each side by '-11'. a = 0.8181818182 Simplifying a = 0.8181818182Solution
a = {0, -0.8181818182, 0.8181818182}
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