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Simplifying a3 + -81a2 = 0 Reorder the terms: -81a2 + a3 = 0 Solving -81a2 + a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a2'. a2(-81 + a) = 0Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(-81 + a)' equal to zero and attempt to solve: Simplifying -81 + a = 0 Solving -81 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + a = 0 + 81 Combine like terms: -81 + 81 = 0 0 + a = 0 + 81 a = 0 + 81 Combine like terms: 0 + 81 = 81 a = 81 Simplifying a = 81Solution
a = {0, 81}
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