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Simplifying -25m2 + -16n2 + 40mn = 0 Reorder the terms: 40mn + -25m2 + -16n2 = 0 Solving 40mn + -25m2 + -16n2 = 0 Solving for variable 'm'. Factor a trinomial. (-5m + 4n)(5m + -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 '(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 = 0.8nSolution
m = {0.8n, 0.8n}
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