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Simplifying a(x + -1b) = 3ax Reorder the terms: a(-1b + x) = 3ax (-1b * a + x * a) = 3ax (-1ab + ax) = 3ax Solving -1ab + ax = 3ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3ax' to each side of the equation. -1ab + ax + -3ax = 3ax + -3ax Combine like terms: ax + -3ax = -2ax -1ab + -2ax = 3ax + -3ax Combine like terms: 3ax + -3ax = 0 -1ab + -2ax = 0 Factor out the Greatest Common Factor (GCF), '-1a'. -1a(b + 2x) = 0 Ignore the factor -1.Subproblem 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 + 2x)' equal to zero and attempt to solve: Simplifying b + 2x = 0 Solving b + 2x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b + 2x = 0 + -1b Combine like terms: b + -1b = 0 0 + 2x = 0 + -1b 2x = 0 + -1b Remove the zero: 2x = -1b Add '-2x' to each side of the equation. 2x + -2x = -1b + -2x Combine like terms: 2x + -2x = 0 0 = -1b + -2x Simplifying 0 = -1b + -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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