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Simplifying 6m2 + mn + -12n2 = 0 Reorder the terms: mn + 6m2 + -12n2 = 0 Solving mn + 6m2 + -12n2 = 0 Solving for variable 'm'. Factor a trinomial. (3m + -4n)(2m + 3n) = 0Subproblem 1
Set the factor '(3m + -4n)' equal to zero and attempt to solve: Simplifying 3m + -4n = 0 Solving 3m + -4n = 0 Move all terms containing m to the left, all other terms to the right. Add '4n' to each side of the equation. 3m + -4n + 4n = 0 + 4n Combine like terms: -4n + 4n = 0 3m + 0 = 0 + 4n 3m = 0 + 4n Remove the zero: 3m = 4n Divide each side by '3'. m = 1.333333333n Simplifying m = 1.333333333nSubproblem 2
Set the factor '(2m + 3n)' equal to zero and attempt to solve: Simplifying 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 = {1.333333333n, -1.5n}
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