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Simplifying a + b = axb + a Reorder the terms: a + b = a + abx Add '-1a' to each side of the equation. a + -1a + b = a + -1a + abx Combine like terms: a + -1a = 0 0 + b = a + -1a + abx b = a + -1a + abx Combine like terms: a + -1a = 0 b = 0 + abx b = abx Solving b = abx Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1abx' to each side of the equation. -1abx + b = abx + -1abx Combine like terms: abx + -1abx = 0 -1abx + b = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(-1ax + 1) = 0Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(-1ax + 1)' equal to zero and attempt to solve: Simplifying -1ax + 1 = 0 Reorder the terms: 1 + -1ax = 0 Solving 1 + -1ax = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1ax = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1ax = 0 + -1 -1ax = 0 + -1 Combine like terms: 0 + -1 = -1 -1ax = -1 Add 'ax' to each side of the equation. -1ax + ax = -1 + ax Combine like terms: -1ax + ax = 0 0 = -1 + ax Simplifying 0 = -1 + ax The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
b = {0}
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