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

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Solution for (-7)/(2v+10)+2=(-7)/(v+5) 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)

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

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

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

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

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

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

4*v^2+7*v+40*v+35+100 = 0

4*v^2+47*v+135 = 0

4*v^2+47*v+135 = 0

4*v^2+47*v+135 = 0

DELTA = 47^2-(4*4*135)

DELTA = 49

DELTA > 0

v = (49^(1/2)-47)/(2*4) or v = (-49^(1/2)-47)/(2*4)

v = -5 or v = -27/4

(v+27/4)*(v+5) = 0

((v+27/4)*(v+5))/((2*v+10)*(v+5)) = 0

((v+27/4)*(v+5))/((2*v+10)*(v+5)) = 0 // * (2*v+10)*(v+5)

(v+27/4)*(v+5) = 0

( v+27/4 )

v+27/4 = 0 // - 27/4

v = -27/4

( v+5 )

v+5 = 0 // - 5

v = -5

v in { -5} 

v = -27/4

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