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