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Simplifying lna + a = 0 Reorder the terms: a + aln = 0 Solving a + aln = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'a'. a(1 + ln) = 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 '(1 + ln)' equal to zero and attempt to solve: Simplifying 1 + ln = 0 Solving 1 + ln = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + ln = 0 + -1 Combine like terms: 1 + -1 = 0 0 + ln = 0 + -1 ln = 0 + -1 Combine like terms: 0 + -1 = -1 ln = -1 Add '-1ln' to each side of the equation. ln + -1ln = -1 + -1ln Combine like terms: ln + -1ln = 0 0 = -1 + -1ln Simplifying 0 = -1 + -1ln 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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