((u-2)/(8u))-(1/12)=1/u

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Solution for ((u-2)/(8u))-(1/12)=1/u equation: 


D( u )

8*u = 0

u = 0

8*u = 0

8*u = 0

8*u = 0 // : 8

u = 0

u = 0

u = 0

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

(u-2)/(8*u)-(1/12) = 1/u // - 1/u

(u-2)/(8*u)-(1/u)-(1/12) = 0

(u-2)/(8*u)-u^-1-1/12 = 0

(u-2)/(8*u)-1/u-1/12 = 0

(12*u*(u-2))/(8*12*u*u)+(-1*8*12*u)/(8*12*u*u)+(-1*8*u*u)/(8*12*u*u) = 0

12*u*(u-2)-1*8*u*u-1*8*12*u = 0

12*u^2-8*u^2-120*u = 0

4*u^2-120*u = 0

4*u^2-120*u = 0

4*u*(u-30) = 0

u-30 = 0 // + 30

u = 30

4*u*(u-30) = 0

(4*u*(u-30))/(8*12*u*u) = 0

(4*u*(u-30))/(8*12*u*u) = 0 // * 8*12*u*u

4*u*(u-30) = 0

( 4*u )

4*u = 0 // : 4

u = 0

( u-30 )

u-30 = 0 // + 30

u = 30

u in { 0} 

u = 30

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