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Simplifying 3m2 + 7mn + 4n2 = 0 Reorder the terms: 7mn + 3m2 + 4n2 = 0 Solving 7mn + 3m2 + 4n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + n)(3m + 4n) = 0Subproblem 1
Set the factor '(m + n)' equal to zero and attempt to solve: Simplifying m + n = 0 Solving m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 m + 0 = 0 + -1n m = 0 + -1n Remove the zero: m = -1n Simplifying m = -1nSubproblem 2
Set the factor '(3m + 4n)' equal to zero and attempt to solve: Simplifying 3m + 4n = 0 Solving 3m + 4n = 0 Move all terms containing m to the left, all other terms to the right. Add '-4n' to each side of the equation. 3m + 4n + -4n = 0 + -4n Combine like terms: 4n + -4n = 0 3m + 0 = 0 + -4n 3m = 0 + -4n Remove the zero: 3m = -4n Divide each side by '3'. m = -1.333333333n Simplifying m = -1.333333333nSolution
m = {-1n, -1.333333333n}
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