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Simplifying 36m2 + -132mn + 121n2 = 0 Reorder the terms: -132mn + 36m2 + 121n2 = 0 Solving -132mn + 36m2 + 121n2 = 0 Solving for variable 'm'. Factor a trinomial. (6m + -11n)(6m + -11n) = 0Subproblem 1
Set the factor '(6m + -11n)' equal to zero and attempt to solve: Simplifying 6m + -11n = 0 Solving 6m + -11n = 0 Move all terms containing m to the left, all other terms to the right. Add '11n' to each side of the equation. 6m + -11n + 11n = 0 + 11n Combine like terms: -11n + 11n = 0 6m + 0 = 0 + 11n 6m = 0 + 11n Remove the zero: 6m = 11n Divide each side by '6'. m = 1.833333333n Simplifying m = 1.833333333nSubproblem 2
Set the factor '(6m + -11n)' equal to zero and attempt to solve: Simplifying 6m + -11n = 0 Solving 6m + -11n = 0 Move all terms containing m to the left, all other terms to the right. Add '11n' to each side of the equation. 6m + -11n + 11n = 0 + 11n Combine like terms: -11n + 11n = 0 6m + 0 = 0 + 11n 6m = 0 + 11n Remove the zero: 6m = 11n Divide each side by '6'. m = 1.833333333n Simplifying m = 1.833333333nSolution
m = {1.833333333n, 1.833333333n}
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