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Simplifying 3mn + 3xm = 12m Solving 3mn + 3mx = 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 3mn + -12m + 3mx = 12m + -12m Reorder the terms: -12m + 3mn + 3mx = 12m + -12m Combine like terms: 12m + -12m = 0 -12m + 3mn + 3mx = 0 Factor out the Greatest Common Factor (GCF), '3m'. 3m(-4 + n + x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(-4 + n + x)' equal to zero and attempt to solve: Simplifying -4 + n + x = 0 Solving -4 + n + x = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + n + 4 + x = 0 + 4 Reorder the terms: -4 + 4 + n + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + n + x = 0 + 4 n + x = 0 + 4 Combine like terms: 0 + 4 = 4 n + x = 4 Add '-1n' to each side of the equation. n + -1n + x = 4 + -1n Combine like terms: n + -1n = 0 0 + x = 4 + -1n x = 4 + -1n Add '-1x' to each side of the equation. x + -1x = 4 + -1n + -1x Combine like terms: x + -1x = 0 0 = 4 + -1n + -1x Simplifying 0 = 4 + -1n + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
m = {0}
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