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Simplifying 6ab + 3ax = 3ac Solving 6ab + 3ax = 3ac Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3ac' to each side of the equation. 6ab + -3ac + 3ax = 3ac + -3ac Combine like terms: 3ac + -3ac = 0 6ab + -3ac + 3ax = 0 Factor out the Greatest Common Factor (GCF), '3a'. 3a(2b + -1c + 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 '(2b + -1c + x)' equal to zero and attempt to solve: Simplifying 2b + -1c + x = 0 Solving 2b + -1c + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 2b + -1c + -2b + x = 0 + -2b Reorder the terms: 2b + -2b + -1c + x = 0 + -2b Combine like terms: 2b + -2b = 0 0 + -1c + x = 0 + -2b -1c + x = 0 + -2b Remove the zero: -1c + x = -2b Add 'c' to each side of the equation. -1c + c + x = -2b + c Combine like terms: -1c + c = 0 0 + x = -2b + c x = -2b + c Add '-1x' to each side of the equation. x + -1x = -2b + c + -1x Combine like terms: x + -1x = 0 0 = -2b + c + -1x Simplifying 0 = -2b + 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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