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Simplifying 12m2 + 13mn + 3n2 = 0 Reorder the terms: 13mn + 12m2 + 3n2 = 0 Solving 13mn + 12m2 + 3n2 = 0 Solving for variable 'm'. Factor a trinomial. (3m + n)(4m + 3n) = 0Subproblem 1
Set the factor '(3m + n)' equal to zero and attempt to solve: Simplifying 3m + n = 0 Solving 3m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. 3m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 3m + 0 = 0 + -1n 3m = 0 + -1n Remove the zero: 3m = -1n Divide each side by '3'. m = -0.3333333333n Simplifying m = -0.3333333333nSubproblem 2
Set the factor '(4m + 3n)' equal to zero and attempt to solve: Simplifying 4m + 3n = 0 Solving 4m + 3n = 0 Move all terms containing m to the left, all other terms to the right. Add '-3n' to each side of the equation. 4m + 3n + -3n = 0 + -3n Combine like terms: 3n + -3n = 0 4m + 0 = 0 + -3n 4m = 0 + -3n Remove the zero: 4m = -3n Divide each side by '4'. m = -0.75n Simplifying m = -0.75nSolution
m = {-0.3333333333n, -0.75n}
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