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Simplifying 9m2 + -6mn + n2 = 0 Reorder the terms: -6mn + 9m2 + n2 = 0 Solving -6mn + 9m2 + n2 = 0 Solving for variable 'm'. Factor a trinomial. (3m + -1n)(3m + -1n) = 0Subproblem 1
Set the factor '(3m + -1n)' equal to zero and attempt to solve: Simplifying 3m + -1n = 0 Solving 3m + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 3m + -1n + n = 0 + n Combine like terms: -1n + n = 0 3m + 0 = 0 + n 3m = 0 + n Remove the zero: 3m = n Divide each side by '3'. m = 0.3333333333n Simplifying m = 0.3333333333nSubproblem 2
Set the factor '(3m + -1n)' equal to zero and attempt to solve: Simplifying 3m + -1n = 0 Solving 3m + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 3m + -1n + n = 0 + n Combine like terms: -1n + n = 0 3m + 0 = 0 + n 3m = 0 + n Remove the zero: 3m = n Divide each side by '3'. m = 0.3333333333n Simplifying m = 0.3333333333nSolution
m = {0.3333333333n, 0.3333333333n}
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