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Simplifying 12am + 18an = 0 Solving 12am + 18an = 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), '6a'. 6a(2m + 3n) = 0 Ignore the factor 6.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 '(2m + 3n)' equal to zero and attempt to solve: Simplifying 2m + 3n = 0 Solving 2m + 3n = 0 Move all terms containing a to the left, all other terms to the right. Add '-2m' to each side of the equation. 2m + -2m + 3n = 0 + -2m Combine like terms: 2m + -2m = 0 0 + 3n = 0 + -2m 3n = 0 + -2m Remove the zero: 3n = -2m Add '-3n' to each side of the equation. 3n + -3n = -2m + -3n Combine like terms: 3n + -3n = 0 0 = -2m + -3n Simplifying 0 = -2m + -3n 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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