(2x+18/8x^8)(x/x^2-8)

Solution for (2x+18/8x^8)(x/x^2-8) equation:

D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

((18/8)*x^8+2*x)*(x/(x^2)-8) = 0

(9/4*x^8+2*x)*(x^-1-8) = 0

9/4*x^8+2*x = 0

x*(9/4*x^7+2) = 0

9/4*x^7 = -2 // : 9/4

x^7 = -8/9

x^7 = -8/9 // ^ 1/7

x = -(8/9)^(1/7)

x*(x+(8/9)^(1/7)) = 0

x*(x+(8/9)^(1/7))*(x^-1-8) = 0

( x+(8/9)^(1/7) )

x+(8/9)^(1/7) = 0 // - (8/9)^(1/7)

x = -(8/9)^(1/7)

( x )

x = 0

( x^-1-8 )

1*x^-1 = 8 // : 1

x^-1 = 8

-1 < 0

1/(x^1) = 8 // * x^1

1 = 8*x^1 // : 8

1/8 = x^1

x = 1/8

x in { 0} 

x in { -(8/9)^(1/7), 1/8 }