3-5/(u-5)=5/(u-5)(u-2)

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Solution for 3-5/(u-5)=5/(u-5)(u-2) equation: 


D( u )

u-5 = 0

u-5 = 0

u-5 = 0

u-5 = 0 // + 5

u = 5

u in (-oo:5) U (5:+oo)

3-(5/(u-5)) = (5/(u-5))*(u-2) // - (5/(u-5))*(u-2)

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

3-5*(u-5)^-1-5*(u-5)^-1*(u-2) = 0

(-5*(u-2))/(u-5)-5/(u-5)+3 = 0

(-5*(u-2))/(u-5)-5/(u-5)+(3*(u-5))/(u-5) = 0

3*(u-5)-5*(u-2)-5 = 0

3*u-5*u-15+5 = 0

-2*u-10 = 0

(-2*u-10)/(u-5) = 0

(-2*u-10)/(u-5) = 0 // * u-5

-2*u-10 = 0

-2*u-10 = 0 // + 10

-2*u = 10 // : -2

u = 10/(-2)

u = -5

u = -5

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