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Simplifying 21m2 + 13mn + 2n2 = 0 Reorder the terms: 13mn + 21m2 + 2n2 = 0 Solving 13mn + 21m2 + 2n2 = 0 Solving for variable 'm'. Factor a trinomial. (7m + 2n)(3m + n) = 0Subproblem 1
Set the factor '(7m + 2n)' equal to zero and attempt to solve: Simplifying 7m + 2n = 0 Solving 7m + 2n = 0 Move all terms containing m to the left, all other terms to the right. Add '-2n' to each side of the equation. 7m + 2n + -2n = 0 + -2n Combine like terms: 2n + -2n = 0 7m + 0 = 0 + -2n 7m = 0 + -2n Remove the zero: 7m = -2n Divide each side by '7'. m = -0.2857142857n Simplifying m = -0.2857142857nSubproblem 2
Set the factor '(3m + n)' equal to zero and attempt to solve: Simplifying 3m + n = 0 Solving 3m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. 3m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 3m + 0 = 0 + -1n 3m = 0 + -1n Remove the zero: 3m = -1n Divide each side by '3'. m = -0.3333333333n Simplifying m = -0.3333333333nSolution
m = {-0.2857142857n, -0.3333333333n}
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