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Simplifying 5m2 + -23mn + 24n2 = 0 Reorder the terms: -23mn + 5m2 + 24n2 = 0 Solving -23mn + 5m2 + 24n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + -3n)(5m + -8n) = 0Subproblem 1
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 = 3nSubproblem 2
Set the factor '(5m + -8n)' equal to zero and attempt to solve: Simplifying 5m + -8n = 0 Solving 5m + -8n = 0 Move all terms containing m to the left, all other terms to the right. Add '8n' to each side of the equation. 5m + -8n + 8n = 0 + 8n Combine like terms: -8n + 8n = 0 5m + 0 = 0 + 8n 5m = 0 + 8n Remove the zero: 5m = 8n Divide each side by '5'. m = 1.6n Simplifying m = 1.6nSolution
m = {3n, 1.6n}
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