(3n+15)/(2n)-(n+3)/(4n)=1/2

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Solution for (3n+15)/(2n)-(n+3)/(4n)=1/2 equation: 


D( n )

4*n = 0

2*n = 0

4*n = 0

4*n = 0

4*n = 0 // : 4

n = 0

2*n = 0

2*n = 0

2*n = 0 // : 2

n = 0

n in (-oo:0) U (0:+oo)

(3*n+15)/(2*n)-((n+3)/(4*n)) = 1/2 // - 1/2

(3*n+15)/(2*n)-((n+3)/(4*n))-(1/2) = 0

(3*n+15)/(2*n)-((n+3)/(4*n))-1/2 = 0

(3*n+15)/(2*n)+(-1*(n+3))/(4*n)-1/2 = 0

(2*4*n*(3*n+15))/(2*2*4*n*n)+(-1*2*2*n*(n+3))/(2*2*4*n*n)+(-1*2*4*n*n)/(2*2*4*n*n) = 0

2*4*n*(3*n+15)-1*2*2*n*(n+3)-1*2*4*n*n = 0

20*n^2-8*n^2+108*n = 0

12*n^2+108*n = 0

12*n^2+108*n = 0

12*n*(n+9) = 0

n+9 = 0 // - 9

n = -9

12*n*(n+9) = 0

(12*n*(n+9))/(2*2*4*n*n) = 0

(12*n*(n+9))/(2*2*4*n*n) = 0 // * 2*2*4*n*n

12*n*(n+9) = 0

( 12*n )

12*n = 0 // : 12

n = 0

( n+9 )

n+9 = 0 // - 9

n = -9

n in { 0} 

n = -9

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