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Simplifying A * B = A * 5 Multiply A * B AB = A * 5 Reorder the terms for easier multiplication: AB = 5A Solving AB = 5A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-5A' to each side of the equation. -5A + AB = 5A + -5A Combine like terms: 5A + -5A = 0 -5A + AB = 0 Factor out the Greatest Common Factor (GCF), 'A'. A(-5 + B) = 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 '(-5 + B)' equal to zero and attempt to solve: Simplifying -5 + B = 0 Solving -5 + B = 0 Move all terms containing A to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + B = 0 + 5 Combine like terms: -5 + 5 = 0 0 + B = 0 + 5 B = 0 + 5 Combine like terms: 0 + 5 = 5 B = 5 Add '-1B' to each side of the equation. B + -1B = 5 + -1B Combine like terms: B + -1B = 0 0 = 5 + -1B Simplifying 0 = 5 + -1B 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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