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