-((3)/(u-5))=-((5)/(4u-20))+2

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Solution for -((3)/(u-5))=-((5)/(4u-20))+2 equation: 


D( u )

u-5 = 0

4*u-20 = 0

u-5 = 0

u-5 = 0

u-5 = 0 // + 5

u = 5

4*u-20 = 0

4*u-20 = 0

4*u-20 = 0 // + 20

4*u = 20 // : 4

u = 20/4

u = 5

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

-(3/(u-5)) = 2-(5/(4*u-20)) // - 2-(5/(4*u-20))

5/(4*u-20)-(3/(u-5))-2 = 0

5/(4*u-20)-3*(u-5)^-1-2 = 0

5/(4*u-20)-3/(u-5)-2 = 0

(-3*(4*u-20))/((u-5)*(4*u-20))+(5*(u-5))/((u-5)*(4*u-20))+(-2*(u-5)*(4*u-20))/((u-5)*(4*u-20)) = 0

5*(u-5)-3*(4*u-20)-2*(u-5)*(4*u-20) = 0

80*u-8*u^2-7*u-200+35 = 0

73*u-8*u^2-165 = 0

73*u-8*u^2-165 = 0

73*u-8*u^2-165 = 0

DELTA = 73^2-(-165*(-8)*4)

DELTA = 49

DELTA > 0

u = (49^(1/2)-73)/(-8*2) or u = (-49^(1/2)-73)/(-8*2)

u = 33/8 or u = 5

(u-33/8)*(u-5) = 0

((u-33/8)*(u-5))/((u-5)*(4*u-20)) = 0

((u-33/8)*(u-5))/((u-5)*(4*u-20)) = 0 // * (u-5)*(4*u-20)

(u-33/8)*(u-5) = 0

( u-33/8 )

u-33/8 = 0 // + 33/8

u = 33/8

( u-5 )

u-5 = 0 // + 5

u = 5

u in { 5} 

u = 33/8

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