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Simplifying 6m2 + 25mn + 11n2 = 0 Reorder the terms: 25mn + 6m2 + 11n2 = 0 Solving 25mn + 6m2 + 11n2 = 0 Solving for variable 'm'. Factor a trinomial. (2m + n)(3m + 11n) = 0Subproblem 1
Set the factor '(2m + n)' equal to zero and attempt to solve: Simplifying 2m + n = 0 Solving 2m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. 2m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 2m + 0 = 0 + -1n 2m = 0 + -1n Remove the zero: 2m = -1n Divide each side by '2'. m = -0.5n Simplifying m = -0.5nSubproblem 2
Set the factor '(3m + 11n)' equal to zero and attempt to solve: Simplifying 3m + 11n = 0 Solving 3m + 11n = 0 Move all terms containing m to the left, all other terms to the right. Add '-11n' to each side of the equation. 3m + 11n + -11n = 0 + -11n Combine like terms: 11n + -11n = 0 3m + 0 = 0 + -11n 3m = 0 + -11n Remove the zero: 3m = -11n Divide each side by '3'. m = -3.666666667n Simplifying m = -3.666666667nSolution
m = {-0.5n, -3.666666667n}
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