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Simplifying 3m(4n + 2 + -1m) = 0 Reorder the terms: 3m(2 + -1m + 4n) = 0 (2 * 3m + -1m * 3m + 4n * 3m) = 0 Reorder the terms: (6m + 12mn + -3m2) = 0 (6m + 12mn + -3m2) = 0 Solving 6m + 12mn + -3m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3m'. 3m(2 + 4n + -1m) = 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 '(2 + 4n + -1m)' equal to zero and attempt to solve: Simplifying 2 + 4n + -1m = 0 Reorder the terms: 2 + -1m + 4n = 0 Solving 2 + -1m + 4n = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1m + -2 + 4n = 0 + -2 Reorder the terms: 2 + -2 + -1m + 4n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m + 4n = 0 + -2 -1m + 4n = 0 + -2 Combine like terms: 0 + -2 = -2 -1m + 4n = -2 Add '-4n' to each side of the equation. -1m + 4n + -4n = -2 + -4n Combine like terms: 4n + -4n = 0 -1m + 0 = -2 + -4n -1m = -2 + -4n Divide each side by '-1'. m = 2 + 4n Simplifying m = 2 + 4nSolution
m = {0, 2 + 4n}
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