(8u^5+2u^2)/(-u^2)

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Solution for (8u^5+2u^2)/(-u^2) equation: 


D( u )

(-u)^2 = 0

(-u)^2 = 0

(-u)^2 = 0

1*u^2 = 0 // : 1

u^2 = 0

u = 0

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

(8*u^5+2*u^2)/((-u)^2) = 0

(8*u^5+2*u^2)/(u^2) = 0

8*u^5+2*u^2 = 0

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

4*u^3 = -1 // : 4

u^3 = -1/4

u^3 = -1/4 // ^ 1/3

u = -(1/4)^(1/3)

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

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

( 2*u^2 )

2*u^2 = 0 // : 2

u^2 = 0

u = 0

( u+(1/4)^(1/3) )

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

u = -(1/4)^(1/3)

u in { 0} 

u = -(1/4)^(1/3)

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