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Simplifying 5a + 15an + 45am = 0 Reorder the terms: 5a + 45am + 15an = 0 Solving 5a + 45am + 15an = 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), '5a'. 5a(1 + 9m + 3n) = 0 Ignore the factor 5.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 '(1 + 9m + 3n)' equal to zero and attempt to solve: Simplifying 1 + 9m + 3n = 0 Solving 1 + 9m + 3n = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 9m + -1 + 3n = 0 + -1 Reorder the terms: 1 + -1 + 9m + 3n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9m + 3n = 0 + -1 9m + 3n = 0 + -1 Combine like terms: 0 + -1 = -1 9m + 3n = -1 Add '-9m' to each side of the equation. 9m + -9m + 3n = -1 + -9m Combine like terms: 9m + -9m = 0 0 + 3n = -1 + -9m 3n = -1 + -9m Add '-3n' to each side of the equation. 3n + -3n = -1 + -9m + -3n Combine like terms: 3n + -3n = 0 0 = -1 + -9m + -3n Simplifying 0 = -1 + -9m + -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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