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Simplifying 5m2 + 24mn + 27n2 = 0 Reorder the terms: 24mn + 5m2 + 27n2 = 0 Solving 24mn + 5m2 + 27n2 = 0 Solving for variable 'm'. Factor a trinomial. (5m + 9n)(m + 3n) = 0Subproblem 1
Set the factor '(5m + 9n)' equal to zero and attempt to solve: Simplifying 5m + 9n = 0 Solving 5m + 9n = 0 Move all terms containing m to the left, all other terms to the right. Add '-9n' to each side of the equation. 5m + 9n + -9n = 0 + -9n Combine like terms: 9n + -9n = 0 5m + 0 = 0 + -9n 5m = 0 + -9n Remove the zero: 5m = -9n Divide each side by '5'. m = -1.8n Simplifying m = -1.8nSubproblem 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 = {-1.8n, -3n}
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