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Simplifying 2a3 + 162a = 0 Reorder the terms: 162a + 2a3 = 0 Solving 162a + 2a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(81 + a2) = 0 Ignore the factor 2.Subproblem 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 '(81 + a2)' equal to zero and attempt to solve: Simplifying 81 + a2 = 0 Solving 81 + a2 = 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 + a2 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + a2 = 0 + -81 a2 = 0 + -81 Combine like terms: 0 + -81 = -81 a2 = -81 Simplifying a2 = -81 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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