(8u^7-4u^3)/2u^3

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Solution for (8u^7-4u^3)/2u^3 equation:


u in (-oo:+oo)

u^3*((8*u^7-(4*u^3))/2) = 0

u^3*((8*u^7-4*u^3)/2) = 0

(u^3*(8*u^7-4*u^3))/2 = 0

8*u^7-4*u^3 = 0

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

2*u^4 = 1 // : 2

u^4 = 1/2

u^4 = 1/2 // ^ 1/4

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

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

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

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

( 4*u^3 )

4*u^3 = 0 // : 4

u^3 = 0

u = 0

( u+(1/2)^(1/4) )

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

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

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

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

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

( u^3 )

1*u^3 = 0 // : 1

u^3 = 0

u = 0

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

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