(12u^6-16u^4)/4u^3

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Solution for (12u^6-16u^4)/4u^3 equation:


u in (-oo:+oo)

u^3*((12*u^6-(16*u^4))/4) = 0

u^3*((12*u^6-16*u^4)/4) = 0

(u^3*(12*u^6-16*u^4))/4 = 0

12*u^6-16*u^4 = 0

4*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)

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

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

( 4*u^4 )

4*u^4 = 0 // : 4

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^3 )

1*u^3 = 0 // : 1

u^3 = 0

u = 0

u in { 0, -(4/3)^(1/2), (4/3)^(1/2), 0 }

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