(12u^6-32u^5)/4u^2

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Solution for (12u^6-32u^5)/4u^2 equation: 


u in (-oo:+oo)

u^2*((12*u^6-(32*u^5))/4) = 0

u^2*((12*u^6-32*u^5)/4) = 0

(u^2*(12*u^6-32*u^5))/4 = 0

12*u^6-32*u^5 = 0

4*u^5*(3*u-8) = 0

3*u-8 = 0 // + 8

3*u = 8 // : 3

u = 8/3

4*u^5*(u-8/3) = 0

(4*u^2*u^5*(u-8/3))/4 = 0

( 4*u^5 )

4*u^5 = 0 // : 4

u^5 = 0

u = 0

( u-8/3 )

u-8/3 = 0 // + 8/3

u = 8/3

( u^2 )

1*u^2 = 0 // : 1

u^2 = 0

u = 0

u in { 0, 8/3, 0 }

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