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Simplifying ab + -1ac = 2fora Solving ab + -1ac = 2afor Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2afor' to each side of the equation. ab + -1ac + -2afor = 2afor + -2afor Combine like terms: 2afor + -2afor = 0 ab + -1ac + -2afor = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(b + -1c + -2for) = 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 + -2for)' equal to zero and attempt to solve: Simplifying b + -1c + -2for = 0 Solving b + -1c + -2for = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1c + -1b + -2for = 0 + -1b Reorder the terms: b + -1b + -1c + -2for = 0 + -1b Combine like terms: b + -1b = 0 0 + -1c + -2for = 0 + -1b -1c + -2for = 0 + -1b Remove the zero: -1c + -2for = -1b Add 'c' to each side of the equation. -1c + c + -2for = -1b + c Combine like terms: -1c + c = 0 0 + -2for = -1b + c -2for = -1b + c Add '2for' to each side of the equation. -2for + 2for = -1b + c + 2for Combine like terms: -2for + 2for = 0 0 = -1b + c + 2for Simplifying 0 = -1b + c + 2for 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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