6n=2n/3(5n-2)

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Solution for 6n=2n/3(5n-2) equation: 


n in (-oo:+oo)

6*n = ((2*n)/3)*(5*n-2) // - ((2*n)/3)*(5*n-2)

6*n-(((2*n)/3)*(5*n-2)) = 0

(-2/3)*n*(5*n-2)+6*n = 0

6*n-2/3*n*(5*n-2) = 0

6*n-2/3*n*(5*n-2) = 0

22/3*n-10/3*n^2 = 0

22/3*n-10/3*n^2 = 0

2/3*n*(11-5*n) = 0

11-5*n = 0 // - 11

-5*n = -11 // : -5

n = -11/(-5)

n = 11/5

2/3*n*(n-11/5) = 0

2/3*n*(n-11/5) = 0

( 2/3*n )

2/3*n = 0 // : 2/3

n = 0

( n-11/5 )

n-11/5 = 0 // + 11/5

n = 11/5

n in { 0, 11/5 }

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