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Simplifying 12m2 + -32mn + 21n2 = 0 Reorder the terms: -32mn + 12m2 + 21n2 = 0 Solving -32mn + 12m2 + 21n2 = 0 Solving for variable 'm'. Factor a trinomial. (2m + -3n)(6m + -7n) = 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 '(6m + -7n)' equal to zero and attempt to solve: Simplifying 6m + -7n = 0 Solving 6m + -7n = 0 Move all terms containing m to the left, all other terms to the right. Add '7n' to each side of the equation. 6m + -7n + 7n = 0 + 7n Combine like terms: -7n + 7n = 0 6m + 0 = 0 + 7n 6m = 0 + 7n Remove the zero: 6m = 7n Divide each side by '6'. m = 1.166666667n Simplifying m = 1.166666667nSolution
m = {1.5n, 1.166666667n}
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