(12u^6-15u^5)/(3u^2)

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Solution for (12u^6-15u^5)/(3u^2) equation: 


D( u )

3*u^2 = 0

3*u^2 = 0

3*u^2 = 0

3*u^2 = 0 // : 3

u^2 = 0

u = 0

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

(12*u^6-(15*u^5))/(3*u^2) = 0

(12*u^6-15*u^5)/(3*u^2) = 0

12*u^6-15*u^5 = 0

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

4*u-5 = 0 // + 5

4*u = 5 // : 4

u = 5/4

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

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

( 3*u^5 )

3*u^5 = 0 // : 3

u^5 = 0

u = 0

( u-5/4 )

u-5/4 = 0 // + 5/4

u = 5/4

u in { 0} 

u = 5/4

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