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Simplifying 75m2 + -71mn + 14n2 = 0 Reorder the terms: -71mn + 75m2 + 14n2 = 0 Solving -71mn + 75m2 + 14n2 = 0 Solving for variable 'm'. Factor a trinomial. (3m + -2n)(25m + -7n) = 0Subproblem 1
Set the factor '(3m + -2n)' equal to zero and attempt to solve: Simplifying 3m + -2n = 0 Solving 3m + -2n = 0 Move all terms containing m to the left, all other terms to the right. Add '2n' to each side of the equation. 3m + -2n + 2n = 0 + 2n Combine like terms: -2n + 2n = 0 3m + 0 = 0 + 2n 3m = 0 + 2n Remove the zero: 3m = 2n Divide each side by '3'. m = 0.6666666667n Simplifying m = 0.6666666667nSubproblem 2
Set the factor '(25m + -7n)' equal to zero and attempt to solve: Simplifying 25m + -7n = 0 Solving 25m + -7n = 0 Move all terms containing m to the left, all other terms to the right. Add '7n' to each side of the equation. 25m + -7n + 7n = 0 + 7n Combine like terms: -7n + 7n = 0 25m + 0 = 0 + 7n 25m = 0 + 7n Remove the zero: 25m = 7n Divide each side by '25'. m = 0.28n Simplifying m = 0.28nSolution
m = {0.6666666667n, 0.28n}
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