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Simplifying AB = 3C * A Multiply C * A AB = 3AC Solving AB = 3AC Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-3AC' to each side of the equation. AB + -3AC = 3AC + -3AC Combine like terms: 3AC + -3AC = 0 AB + -3AC = 0 Factor out the Greatest Common Factor (GCF), 'A'. A(B + -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 '(B + -3C)' equal to zero and attempt to solve: Simplifying B + -3C = 0 Solving B + -3C = 0 Move all terms containing A to the left, all other terms to the right. Add '-1B' to each side of the equation. B + -1B + -3C = 0 + -1B Combine like terms: B + -1B = 0 0 + -3C = 0 + -1B -3C = 0 + -1B Remove the zero: -3C = -1B Add '3C' to each side of the equation. -3C + 3C = -1B + 3C Combine like terms: -3C + 3C = 0 0 = -1B + 3C Simplifying 0 = -1B + 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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