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Simplifying n2 + -18nm + 72m2 = 0 Reorder the terms: -18mn + 72m2 + n2 = 0 Solving -18mn + 72m2 + n2 = 0 Solving for variable 'm'. Factor a trinomial. (6m + -1n)(12m + -1n) = 0Subproblem 1
Set the factor '(6m + -1n)' equal to zero and attempt to solve: Simplifying 6m + -1n = 0 Solving 6m + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 6m + -1n + n = 0 + n Combine like terms: -1n + n = 0 6m + 0 = 0 + n 6m = 0 + n Remove the zero: 6m = n Divide each side by '6'. m = 0.1666666667n Simplifying m = 0.1666666667nSubproblem 2
Set the factor '(12m + -1n)' equal to zero and attempt to solve: Simplifying 12m + -1n = 0 Solving 12m + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 12m + -1n + n = 0 + n Combine like terms: -1n + n = 0 12m + 0 = 0 + n 12m = 0 + n Remove the zero: 12m = n Divide each side by '12'. m = 0.08333333333n Simplifying m = 0.08333333333nSolution
m = {0.1666666667n, 0.08333333333n}
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