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Simplifying 9m2 + 30mn + 25n2 = 0 Reorder the terms: 30mn + 9m2 + 25n2 = 0 Solving 30mn + 9m2 + 25n2 = 0 Solving for variable 'm'. Factor a trinomial. (3m + 5n)(3m + 5n) = 0Subproblem 1
Set the factor '(3m + 5n)' equal to zero and attempt to solve: Simplifying 3m + 5n = 0 Solving 3m + 5n = 0 Move all terms containing m to the left, all other terms to the right. Add '-5n' to each side of the equation. 3m + 5n + -5n = 0 + -5n Combine like terms: 5n + -5n = 0 3m + 0 = 0 + -5n 3m = 0 + -5n Remove the zero: 3m = -5n Divide each side by '3'. m = -1.666666667n Simplifying m = -1.666666667nSubproblem 2
Set the factor '(3m + 5n)' equal to zero and attempt to solve: Simplifying 3m + 5n = 0 Solving 3m + 5n = 0 Move all terms containing m to the left, all other terms to the right. Add '-5n' to each side of the equation. 3m + 5n + -5n = 0 + -5n Combine like terms: 5n + -5n = 0 3m + 0 = 0 + -5n 3m = 0 + -5n Remove the zero: 3m = -5n Divide each side by '3'. m = -1.666666667n Simplifying m = -1.666666667nSolution
m = {-1.666666667n, -1.666666667n}
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