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Simplifying 5m2 + 24mn + 16n2 = 0 Reorder the terms: 24mn + 5m2 + 16n2 = 0 Solving 24mn + 5m2 + 16n2 = 0 Solving for variable 'm'. Factor a trinomial. (5m + 4n)(m + 4n) = 0Subproblem 1
Set the factor '(5m + 4n)' equal to zero and attempt to solve: Simplifying 5m + 4n = 0 Solving 5m + 4n = 0 Move all terms containing m to the left, all other terms to the right. Add '-4n' to each side of the equation. 5m + 4n + -4n = 0 + -4n Combine like terms: 4n + -4n = 0 5m + 0 = 0 + -4n 5m = 0 + -4n Remove the zero: 5m = -4n Divide each side by '5'. m = -0.8n Simplifying m = -0.8nSubproblem 2
Set the factor '(m + 4n)' equal to zero and attempt to solve: Simplifying m + 4n = 0 Solving m + 4n = 0 Move all terms containing m to the left, all other terms to the right. Add '-4n' to each side of the equation. m + 4n + -4n = 0 + -4n Combine like terms: 4n + -4n = 0 m + 0 = 0 + -4n m = 0 + -4n Remove the zero: m = -4n Simplifying m = -4nSolution
m = {-0.8n, -4n}
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