(8u^7-16u^3)/4u^3

Solution for (8u^7-16u^3)/4u^3 equation:

u in (-oo:+oo)

u^3*((8*u^7-(16*u^3))/4) = 0

u^3*((8*u^7-16*u^3)/4) = 0

(u^3*(8*u^7-16*u^3))/4 = 0

8*u^7-16*u^3 = 0

8*u^3*(u^4-2) = 0

1*u^4 = 2 // : 1

u^4 = 2

u^4 = 2 // ^ 1/4

abs(u) = 2^(1/4)

u = 2^(1/4) or u = -2^(1/4)

8*u^3*(u-2^(1/4))*(u+2^(1/4)) = 0

(8*u^3*u^3*(u-2^(1/4))*(u+2^(1/4)))/4 = 0

( 8*u^3 )

8*u^3 = 0 // : 8

u^3 = 0

u = 0

( u+2^(1/4) )

u+2^(1/4) = 0 // - 2^(1/4)

u = -2^(1/4)

( u-2^(1/4) )

u-2^(1/4) = 0 // + 2^(1/4)

u = 2^(1/4)

( u^3 )

1*u^3 = 0 // : 1

u^3 = 0

u = 0

u in { 0, -2^(1/4), 2^(1/4), 0 }