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Simplifying -4mn + 3m + 6mn + 2mn = 0 Reorder the terms: 3m + -4mn + 6mn + 2mn = 0 Combine like terms: -4mn + 6mn = 2mn 3m + 2mn + 2mn = 0 Combine like terms: 2mn + 2mn = 4mn 3m + 4mn = 0 Solving 3m + 4mn = 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(3 + 4n) = 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 '(3 + 4n)' equal to zero and attempt to solve: Simplifying 3 + 4n = 0 Solving 3 + 4n = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4n = 0 + -3 4n = 0 + -3 Combine like terms: 0 + -3 = -3 4n = -3 Add '-4n' to each side of the equation. 4n + -4n = -3 + -4n Combine like terms: 4n + -4n = 0 0 = -3 + -4n Simplifying 0 = -3 + -4n 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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