((-7)/(v+5))=((-1)/(2v+10))+4

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Solution for ((-7)/(v+5))=((-1)/(2v+10))+4 equation: 


D( v )

2*v+10 = 0

v+5 = 0

2*v+10 = 0

2*v+10 = 0

2*v+10 = 0 // - 10

2*v = -10 // : 2

v = -10/2

v = -5

v+5 = 0

v+5 = 0

v+5 = 0 // - 5

v = -5

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

-7/(v+5) = 4-1/(2*v+10) // - 4-1/(2*v+10)

-7/(v+5)-(-1/(2*v+10))-4 = 0

(2*v+10)^-1-7/(v+5)-4 = 0

1/(2*v+10)-7/(v+5)-4 = 0

(-7*(2*v+10))/((v+5)*(2*v+10))+(v+5)/((v+5)*(2*v+10))+(-4*(v+5)*(2*v+10))/((v+5)*(2*v+10)) = 0

v-7*(2*v+10)-4*(v+5)*(2*v+10)+5 = 0

-8*v^2-13*v-80*v-200-65 = 0

-8*v^2-93*v-265 = 0

-8*v^2-93*v-265 = 0

-1*(8*v^2+93*v+265) = 0

8*v^2+93*v+265 = 0

DELTA = 93^2-(4*8*265)

DELTA = 169

DELTA > 0

v = (169^(1/2)-93)/(2*8) or v = (-169^(1/2)-93)/(2*8)

v = -5 or v = -53/8

-1*(v+53/8)*(v+5) = 0

(-1*(v+53/8)*(v+5))/((v+5)*(2*v+10)) = 0

(-1*(v+53/8)*(v+5))/((v+5)*(2*v+10)) = 0 // * (v+5)*(2*v+10)

-1*(v+53/8)*(v+5) = 0

( v+5 )

v+5 = 0 // - 5

v = -5

( v+53/8 )

v+53/8 = 0 // - 53/8

v = -53/8

v in { -5} 

v = -53/8

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