(7/(4u+20))+1=-2/(u+5)

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Solution for (7/(4u+20))+1=-2/(u+5) 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)

7/(4*u+20)+1 = -2/(u+5) // + -2/(u+5)

7/(4*u+20)-(-2/(u+5))+1 = 0

7/(4*u+20)+2*(u+5)^-1+1 = 0

7/(4*u+20)+2/(u+5)+1 = 0

(7*(u+5))/((4*u+20)*(u+5))+(2*(4*u+20))/((4*u+20)*(u+5))+(1*(4*u+20)*(u+5))/((4*u+20)*(u+5)) = 0

7*(u+5)+2*(4*u+20)+1*(4*u+20)*(u+5) = 0

4*u^2+15*u+40*u+75+100 = 0

4*u^2+55*u+175 = 0

4*u^2+55*u+175 = 0

4*u^2+55*u+175 = 0

DELTA = 55^2-(4*4*175)

DELTA = 225

DELTA > 0

u = (225^(1/2)-55)/(2*4) or u = (-225^(1/2)-55)/(2*4)

u = -5 or u = -35/4

(u+35/4)*(u+5) = 0

((u+35/4)*(u+5))/((4*u+20)*(u+5)) = 0

((u+35/4)*(u+5))/((4*u+20)*(u+5)) = 0 // * (4*u+20)*(u+5)

(u+35/4)*(u+5) = 0

( u+35/4 )

u+35/4 = 0 // - 35/4

u = -35/4

( u+5 )

u+5 = 0 // - 5

u = -5

u in { -5} 

u = -35/4

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