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