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Simplifying 15ab + -5ac = 0 Solving 15ab + -5ac = 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(3b + -1c) = 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 '(3b + -1c)' equal to zero and attempt to solve: Simplifying 3b + -1c = 0 Solving 3b + -1c = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 3b + -3b + -1c = 0 + -3b Combine like terms: 3b + -3b = 0 0 + -1c = 0 + -3b -1c = 0 + -3b Remove the zero: -1c = -3b Add 'c' to each side of the equation. -1c + c = -3b + c Combine like terms: -1c + c = 0 0 = -3b + c Simplifying 0 = -3b + c 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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