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Simplifying m2 + 13mn + 40n2 = 0 Reorder the terms: 13mn + m2 + 40n2 = 0 Solving 13mn + m2 + 40n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + 5n)(m + 8n) = 0Subproblem 1
Set the factor '(m + 5n)' equal to zero and attempt to solve: Simplifying m + 5n = 0 Solving m + 5n = 0 Move all terms containing m to the left, all other terms to the right. Add '-5n' to each side of the equation. m + 5n + -5n = 0 + -5n Combine like terms: 5n + -5n = 0 m + 0 = 0 + -5n m = 0 + -5n Remove the zero: m = -5n Simplifying m = -5nSubproblem 2
Set the factor '(m + 8n)' equal to zero and attempt to solve: Simplifying m + 8n = 0 Solving m + 8n = 0 Move all terms containing m to the left, all other terms to the right. Add '-8n' to each side of the equation. m + 8n + -8n = 0 + -8n Combine like terms: 8n + -8n = 0 m + 0 = 0 + -8n m = 0 + -8n Remove the zero: m = -8n Simplifying m = -8nSolution
m = {-5n, -8n}
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