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Simplifying 20m2 + 13mn + 2n2 = 0 Reorder the terms: 13mn + 20m2 + 2n2 = 0 Solving 13mn + 20m2 + 2n2 = 0 Solving for variable 'm'. Factor a trinomial. (4m + n)(5m + 2n) = 0Subproblem 1
Set the factor '(4m + n)' equal to zero and attempt to solve: Simplifying 4m + n = 0 Solving 4m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. 4m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 4m + 0 = 0 + -1n 4m = 0 + -1n Remove the zero: 4m = -1n Divide each side by '4'. m = -0.25n Simplifying m = -0.25nSubproblem 2
Set the factor '(5m + 2n)' equal to zero and attempt to solve: Simplifying 5m + 2n = 0 Solving 5m + 2n = 0 Move all terms containing m to the left, all other terms to the right. Add '-2n' to each side of the equation. 5m + 2n + -2n = 0 + -2n Combine like terms: 2n + -2n = 0 5m + 0 = 0 + -2n 5m = 0 + -2n Remove the zero: 5m = -2n Divide each side by '5'. m = -0.4n Simplifying m = -0.4nSolution
m = {-0.25n, -0.4n}
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