(n^5/n-5)*(n^2-6n/n^8)

Solution for (n^5/n-5)*(n^2-6n/n^8) equation:

D( n )

n = 0

n^8 = 0

n = 0

n = 0

n^8 = 0

n^8 = 0

1*n^8 = 0 // : 1

n^8 = 0

n = 0

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

((n^5)/n-5)*(n^2-((6*n)/(n^8))) = 0

((n^5)/n-5)*(n^2-6*n^-7) = 0

(n^4-5)*(n^2-6*n^-7) = 0

n^2-6*n^-7 = 0

n^2*(1-6*n^-9) = 0

-6*n^-9 = -1 // : -6

n^-9 = 1/6

-9 < 0

1/(n^9) = 1/6 // * n^9

1 = 1/6*n^9 // : 1/6

6 = n^9

n^9 = 6 // ^ 1/9

n = 6^(1/9)

n^2*(n-6^(1/9)) = 0

n^2*(n^4-5)*(n-6^(1/9)) = 0

( n-6^(1/9) )

n-6^(1/9) = 0 // + 6^(1/9)

n = 6^(1/9)

( n^2 )

1*n^2 = 0 // : 1

n^2 = 0

n = 0

( n^4-5 )

1*n^4 = 5 // : 1

n^4 = 5

n^4 = 5 // ^ 1/4

abs(n) = 5^(1/4)

n = 5^(1/4) or n = -5^(1/4)

n in { 0} 

n in { 6^(1/9), 5^(1/4), -5^(1/4) }