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Simplifying 18ab + 24ac + 30ad = 0 Solving 18ab + 24ac + 30ad = 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(3b + 4c + 5d) = 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 '(3b + 4c + 5d)' equal to zero and attempt to solve: Simplifying 3b + 4c + 5d = 0 Solving 3b + 4c + 5d = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 3b + 4c + -3b + 5d = 0 + -3b Reorder the terms: 3b + -3b + 4c + 5d = 0 + -3b Combine like terms: 3b + -3b = 0 0 + 4c + 5d = 0 + -3b 4c + 5d = 0 + -3b Remove the zero: 4c + 5d = -3b Add '-4c' to each side of the equation. 4c + -4c + 5d = -3b + -4c Combine like terms: 4c + -4c = 0 0 + 5d = -3b + -4c 5d = -3b + -4c Add '-5d' to each side of the equation. 5d + -5d = -3b + -4c + -5d Combine like terms: 5d + -5d = 0 0 = -3b + -4c + -5d Simplifying 0 = -3b + -4c + -5d 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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