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Simplifying m2 + 4mn + 3n2 = 0 Reorder the terms: 4mn + m2 + 3n2 = 0 Solving 4mn + m2 + 3n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + n)(m + 3n) = 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 '(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 = {-1n, -3n}
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