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Simplifying ab = cfora Solving ab = acfor Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1acfor' to each side of the equation. ab + -1acfor = acfor + -1acfor Combine like terms: acfor + -1acfor = 0 ab + -1acfor = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(b + -1cfor) = 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 + -1cfor)' equal to zero and attempt to solve: Simplifying b + -1cfor = 0 Solving b + -1cfor = 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 + -1cfor = 0 + -1b Combine like terms: b + -1b = 0 0 + -1cfor = 0 + -1b -1cfor = 0 + -1b Remove the zero: -1cfor = -1b Add 'cfor' to each side of the equation. -1cfor + cfor = -1b + cfor Combine like terms: -1cfor + cfor = 0 0 = -1b + cfor Simplifying 0 = -1b + cfor 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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