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Simplifying 6ab + 3ax = 3ab Solving 6ab + 3ax = 3ab Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3ab' to each side of the equation. 6ab + -3ab + 3ax = 3ab + -3ab Combine like terms: 6ab + -3ab = 3ab 3ab + 3ax = 3ab + -3ab Combine like terms: 3ab + -3ab = 0 3ab + 3ax = 0 Factor out the Greatest Common Factor (GCF), '3a'. 3a(b + x) = 0 Ignore the factor 3.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 + x)' equal to zero and attempt to solve: Simplifying b + x = 0 Solving b + x = 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 + x = 0 + -1b Combine like terms: b + -1b = 0 0 + x = 0 + -1b x = 0 + -1b Remove the zero: x = -1b Add '-1x' to each side of the equation. x + -1x = -1b + -1x Combine like terms: x + -1x = 0 0 = -1b + -1x Simplifying 0 = -1b + -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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