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Simplifying 36m2 + 12mn + -35n2 = 0 Reorder the terms: 12mn + 36m2 + -35n2 = 0 Solving 12mn + 36m2 + -35n2 = 0 Solving for variable 'm'. Factor a trinomial. (6m + -5n)(6m + 7n) = 0Subproblem 1
Set the factor '(6m + -5n)' equal to zero and attempt to solve: Simplifying 6m + -5n = 0 Solving 6m + -5n = 0 Move all terms containing m to the left, all other terms to the right. Add '5n' to each side of the equation. 6m + -5n + 5n = 0 + 5n Combine like terms: -5n + 5n = 0 6m + 0 = 0 + 5n 6m = 0 + 5n Remove the zero: 6m = 5n Divide each side by '6'. m = 0.8333333333n Simplifying m = 0.8333333333nSubproblem 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 = {0.8333333333n, -1.166666667n}
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