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