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Simplifying 3mn + 4m + 2mn = 0 Reorder the terms: 4m + 3mn + 2mn = 0 Combine like terms: 3mn + 2mn = 5mn 4m + 5mn = 0 Solving 4m + 5mn = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'm'. m(4 + 5n) = 0Subproblem 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 + 5n)' equal to zero and attempt to solve: Simplifying 4 + 5n = 0 Solving 4 + 5n = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5n = 0 + -4 5n = 0 + -4 Combine like terms: 0 + -4 = -4 5n = -4 Add '-5n' to each side of the equation. 5n + -5n = -4 + -5n Combine like terms: 5n + -5n = 0 0 = -4 + -5n Simplifying 0 = -4 + -5n 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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