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