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Simplifying 15m2 + 2mn + -8n2 = 0 Reorder the terms: 2mn + 15m2 + -8n2 = 0 Solving 2mn + 15m2 + -8n2 = 0 Solving for variable 'm'. Factor a trinomial. (3m + -2n)(5m + 4n) = 0Subproblem 1
Set the factor '(3m + -2n)' equal to zero and attempt to solve: Simplifying 3m + -2n = 0 Solving 3m + -2n = 0 Move all terms containing m to the left, all other terms to the right. Add '2n' to each side of the equation. 3m + -2n + 2n = 0 + 2n Combine like terms: -2n + 2n = 0 3m + 0 = 0 + 2n 3m = 0 + 2n Remove the zero: 3m = 2n Divide each side by '3'. m = 0.6666666667n Simplifying m = 0.6666666667nSubproblem 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 = {0.6666666667n, -0.8n}
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