(24u^6-32u^4)/(4u^3)

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Solution for (24u^6-32u^4)/(4u^3) equation: 


D( u )

4*u^3 = 0

4*u^3 = 0

4*u^3 = 0

4*u^3 = 0 // : 4

u^3 = 0

u = 0

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

(24*u^6-(32*u^4))/(4*u^3) = 0

(24*u^6-32*u^4)/(4*u^3) = 0

24*u^6-32*u^4 = 0

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

3*u^2 = 4 // : 3

u^2 = 4/3

u^2 = 4/3 // ^ 1/2

abs(u) = (4/3)^(1/2)

u = (4/3)^(1/2) or u = -(4/3)^(1/2)

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

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

( 8*u^4 )

8*u^4 = 0 // : 8

u^4 = 0

u = 0

( u+(4/3)^(1/2) )

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

u = -(4/3)^(1/2)

( u-(4/3)^(1/2) )

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

u = (4/3)^(1/2)

u in { 0} 

u in { -(4/3)^(1/2), (4/3)^(1/2) }

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