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Simplifying 3ab + 2ab + 3ac = 0 Combine like terms: 3ab + 2ab = 5ab 5ab + 3ac = 0 Solving 5ab + 3ac = 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(5b + 3c) = 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 '(5b + 3c)' equal to zero and attempt to solve: Simplifying 5b + 3c = 0 Solving 5b + 3c = 0 Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 5b + -5b + 3c = 0 + -5b Combine like terms: 5b + -5b = 0 0 + 3c = 0 + -5b 3c = 0 + -5b Remove the zero: 3c = -5b Add '-3c' to each side of the equation. 3c + -3c = -5b + -3c Combine like terms: 3c + -3c = 0 0 = -5b + -3c Simplifying 0 = -5b + -3c 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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