5n/2(n-1)=-3/7n

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Solution for 5n/2(n-1)=-3/7n equation: 


n in (-oo:+oo)

((5*n)/2)*(n-1) = (-3/7)*n // - (-3/7)*n

((5*n)/2)*(n-1)-((-3/7)*n) = 0

((5*n)/2)*(n-1)+(3/7)*n = 0

5/2*n*(n-1)+(3*n)/7 = 0

(5/2*7*n*(n-1))/7+(3*n)/7 = 0

5/2*7*n*(n-1)+3*n = 0

35/2*n^2-29/2*n = 0

35/2*n^2-29/2*n = 0

1/2*n*(35*n-29) = 0

35*n-29 = 0 // + 29

35*n = 29 // : 35

n = 29/35

1/2*n*(n-29/35) = 0

(1/2*n*(n-29/35))/7 = 0

(1/2*n*(n-29/35))/7 = 0 // * 7

1/2*n*(n-29/35) = 0

( 1/2*n )

1/2*n = 0 // : 1/2

n = 0

( n-29/35 )

n-29/35 = 0 // + 29/35

n = 29/35

n in { 0, 29/35 }

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