3(2n+1)-4(2n-1)/2n+1-2n

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Solution for 3(2n+1)-4(2n-1)/2n+1-2n equation: 


n in (-oo:+oo)

3*(2*n+1)-(n*((4*(2*n-1))/2))-(2*n)+1 = 0

3*(2*n+1)-2*n*(2*n-1)-2*n+1 = 0

3*(2*n+1)-2*n*(2*n-1)-2*n+1 = 0

8*n-4*n^2-2*n+1+3 = 0

6*n-4*n^2+1+3 = 0

6*n-4*n^2+4 = 0

6*n-4*n^2+4 = 0

2*(3*n-2*n^2+2) = 0

3*n-2*n^2+2 = 0

DELTA = 3^2-(-2*2*4)

DELTA = 25

DELTA > 0

n = (25^(1/2)-3)/(-2*2) or n = (-25^(1/2)-3)/(-2*2)

n = -1/2 or n = 2

2*(n+1/2)*(n-2) = 0

2*(n+1/2)*(n-2) = 0

( n+1/2 )

n+1/2 = 0 // - 1/2

n = -1/2

( n-2 )

n-2 = 0 // + 2

n = 2

n in { -1/2, 2 }

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