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Simplifying 12m2 + 28mn + 15n2 = 0 Reorder the terms: 28mn + 12m2 + 15n2 = 0 Solving 28mn + 12m2 + 15n2 = 0 Solving for variable 'm'. Factor a trinomial. (6m + 5n)(2m + 3n) = 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 '(2m + 3n)' equal to zero and attempt to solve: Simplifying 2m + 3n = 0 Solving 2m + 3n = 0 Move all terms containing m to the left, all other terms to the right. Add '-3n' to each side of the equation. 2m + 3n + -3n = 0 + -3n Combine like terms: 3n + -3n = 0 2m + 0 = 0 + -3n 2m = 0 + -3n Remove the zero: 2m = -3n Divide each side by '2'. m = -1.5n Simplifying m = -1.5nSolution
m = {-0.8333333333n, -1.5n}
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