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Simplifying 6m2 + -1mn + -12n2 = 0 Reorder the terms: -1mn + 6m2 + -12n2 = 0 Solving -1mn + 6m2 + -12n2 = 0 Solving for variable 'm'. Factor a trinomial. (2m + -3n)(3m + 4n) = 0Subproblem 1
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 = 1.5nSubproblem 2
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 = -1.333333333nSolution
m = {1.5n, -1.333333333n}
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