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Simplifying 169m2 + -78mn + 9n2 = 0 Reorder the terms: -78mn + 169m2 + 9n2 = 0 Solving -78mn + 169m2 + 9n2 = 0 Solving for variable 'm'. Factor a trinomial. (13m + -3n)(13m + -3n) = 0Subproblem 1
Set the factor '(13m + -3n)' equal to zero and attempt to solve: Simplifying 13m + -3n = 0 Solving 13m + -3n = 0 Move all terms containing m to the left, all other terms to the right. Add '3n' to each side of the equation. 13m + -3n + 3n = 0 + 3n Combine like terms: -3n + 3n = 0 13m + 0 = 0 + 3n 13m = 0 + 3n Remove the zero: 13m = 3n Divide each side by '13'. m = 0.2307692308n Simplifying m = 0.2307692308nSubproblem 2
Set the factor '(13m + -3n)' equal to zero and attempt to solve: Simplifying 13m + -3n = 0 Solving 13m + -3n = 0 Move all terms containing m to the left, all other terms to the right. Add '3n' to each side of the equation. 13m + -3n + 3n = 0 + 3n Combine like terms: -3n + 3n = 0 13m + 0 = 0 + 3n 13m = 0 + 3n Remove the zero: 13m = 3n Divide each side by '13'. m = 0.2307692308n Simplifying m = 0.2307692308nSolution
m = {0.2307692308n, 0.2307692308n}
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