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Simplifying 50m2 + -181mn + 21n2 = 0 Reorder the terms: -181mn + 50m2 + 21n2 = 0 Solving -181mn + 50m2 + 21n2 = 0 Solving for variable 'm'. Factor a trinomial. (2m + -7n)(25m + -3n) = 0Subproblem 1
Set the factor '(2m + -7n)' equal to zero and attempt to solve: Simplifying 2m + -7n = 0 Solving 2m + -7n = 0 Move all terms containing m to the left, all other terms to the right. Add '7n' to each side of the equation. 2m + -7n + 7n = 0 + 7n Combine like terms: -7n + 7n = 0 2m + 0 = 0 + 7n 2m = 0 + 7n Remove the zero: 2m = 7n Divide each side by '2'. m = 3.5n Simplifying m = 3.5nSubproblem 2
Set the factor '(25m + -3n)' equal to zero and attempt to solve: Simplifying 25m + -3n = 0 Solving 25m + -3n = 0 Move all terms containing m to the left, all other terms to the right. Add '3n' to each side of the equation. 25m + -3n + 3n = 0 + 3n Combine like terms: -3n + 3n = 0 25m + 0 = 0 + 3n 25m = 0 + 3n Remove the zero: 25m = 3n Divide each side by '25'. m = 0.12n Simplifying m = 0.12nSolution
m = {3.5n, 0.12n}
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