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Simplifying 8m2 + 12mn = 0 Reorder the terms: 12mn + 8m2 = 0 Solving 12mn + 8m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m'. 4m(3n + 2m) = 0 Ignore the factor 4.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 '(3n + 2m)' equal to zero and attempt to solve: Simplifying 3n + 2m = 0 Reorder the terms: 2m + 3n = 0 Solving 2m + 3n = 0 Move all terms containing m to the left, all other terms to the right. Add '-3n' to each side of the equation. 2m + 3n + -3n = 0 + -3n Combine like terms: 3n + -3n = 0 2m + 0 = 0 + -3n 2m = 0 + -3n Remove the zero: 2m = -3n Divide each side by '2'. m = -1.5n Simplifying m = -1.5nSolution
m = {0, -1.5n}
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