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Simplifying 3m2 + 11mn + 6n2 = 0 Reorder the terms: 11mn + 3m2 + 6n2 = 0 Solving 11mn + 3m2 + 6n2 = 0 Solving for variable 'm'. Factor a trinomial. (3m + 2n)(m + 3n) = 0Subproblem 1
Set the factor '(3m + 2n)' equal to zero and attempt to solve: Simplifying 3m + 2n = 0 Solving 3m + 2n = 0 Move all terms containing m to the left, all other terms to the right. Add '-2n' to each side of the equation. 3m + 2n + -2n = 0 + -2n Combine like terms: 2n + -2n = 0 3m + 0 = 0 + -2n 3m = 0 + -2n Remove the zero: 3m = -2n Divide each side by '3'. m = -0.6666666667n Simplifying m = -0.6666666667nSubproblem 2
Set the factor '(m + 3n)' equal to zero and attempt to solve: Simplifying m + 3n = 0 Solving m + 3n = 0 Move all terms containing m to the left, all other terms to the right. Add '-3n' to each side of the equation. m + 3n + -3n = 0 + -3n Combine like terms: 3n + -3n = 0 m + 0 = 0 + -3n m = 0 + -3n Remove the zero: m = -3n Simplifying m = -3nSolution
m = {-0.6666666667n, -3n}
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