(6/(v+3))+(8/(7v))+(18/(v^2+3v))

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Solution for (6/(v+3))+(8/(7v))+(18/(v^2+3v)) equation: 


D( v )

v^2+3*v = 0

7*v = 0

v+3 = 0

v^2+3*v = 0

v^2+3*v = 0

v^2+3*v = 0

DELTA = 3^2-(0*1*4)

DELTA = 9

DELTA > 0

v = (9^(1/2)-3)/(1*2) or v = (-9^(1/2)-3)/(1*2)

v = 0 or v = -3

7*v = 0

7*v = 0

7*v = 0 // : 7

v = 0

v+3 = 0

v+3 = 0

v+3 = 0 // - 3

v = -3

v in (-oo:-3) U (-3:0) U (0:+oo)

6/(v+3)+18/(v^2+3*v)+8/(7*v) = 0

v^2+3*v = 0

v^2+3*v = 0

v*(v+3) = 0

v+3 = 0 // - 3

v = -3

v*(v+3) = 0

6/(v+3)+18/(v*(v+3))+8/(7*v) = 0

(6*7*v*v)/(7*v*v*(v+3))+(7*18*v)/(7*v*v*(v+3))+(8*v*(v+3))/(7*v*v*(v+3)) = 0

8*v*(v+3)+6*7*v*v+7*18*v = 0

42*v^2+8*v^2+126*v+24*v = 0

50*v^2+150*v = 0

50*v^2+150*v = 0

50*v*(v+3) = 0

v+3 = 0 // - 3

v = -3

50*v*(v+3) = 0

(50*v*(v+3))/(7*v*v*(v+3)) = 0

(50*v*(v+3))/(7*v*v*(v+3)) = 0 // * 7*v*v*(v+3)

50*v*(v+3) = 0

( 50*v )

50*v = 0 // : 50

v = 0

( v+3 )

v+3 = 0 // - 3

v = -3

v in { 0} 

v in { -3} 

v belongs to the empty set

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