2n/3+(n+5)/(3n+15)

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Solution for 2n/3+(n+5)/(3n+15) equation:


D( n )

3*n+15 = 0

3*n+15 = 0

3*n+15 = 0

3*n+15 = 0 // - 15

3*n = -15 // : 3

n = -15/3

n = -5

n in (-oo:-5) U (-5:+oo)

(n+5)/(3*n+15)+(2*n)/3 = 0

(3*(n+5))/(3*(3*n+15))+(2*n*(3*n+15))/(3*(3*n+15)) = 0

3*(n+5)+2*n*(3*n+15) = 0

6*n^2+33*n+15 = 0

6*n^2+33*n+15 = 0

3*(2*n^2+11*n+5) = 0

2*n^2+11*n+5 = 0

DELTA = 11^2-(2*4*5)

DELTA = 81

DELTA > 0

n = (81^(1/2)-11)/(2*2) or n = (-81^(1/2)-11)/(2*2)

n = -1/2 or n = -5

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

(3*(n+5)*(n+1/2))/(3*(3*n+15)) = 0

(3*(n+5)*(n+1/2))/(3*(3*n+15)) = 0 // * 3*(3*n+15)

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

( n+1/2 )

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

n = -1/2

( n+5 )

n+5 = 0 // - 5

n = -5

n in { -5}

n = -1/2

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