(v+(8/(v+6)))/(1+(2/v))

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Solution for (v+(8/(v+6)))/(1+(2/v)) equation: 


D( v )

v+6 = 0

2/v+1 = 0

v = 0

v+6 = 0

v+6 = 0

v+6 = 0 // - 6

v = -6

2/v+1 = 0

2/v+1 = 0

2*v^-1 = -1 // : 2

v^-1 = -1/2

-1 < 0

1/(v^1) = -1/2 // * v^1

1 = -1/2*v^1 // : -1/2

-2 = v^1

v = -2

v = 0

v = 0

v in (-oo:-6) U (-6:-2) U (-2:0) U (0:+oo)

(8/(v+6)+v)/(2/v+1) = 0

(8/(v+6)+v)/(2*v^-1+1) = 0

8/(v+6)+v = 0

8/(v+6)+(v*(v+6))/(v+6) = 0

v*(v+6)+8 = 0

v^2+6*v+8 = 0

v^2+6*v+8 = 0

v^2+6*v+8 = 0

DELTA = 6^2-(1*4*8)

DELTA = 4

DELTA > 0

v = (4^(1/2)-6)/(1*2) or v = (-4^(1/2)-6)/(1*2)

v = -2 or v = -4

(v+4)*(v+2) = 0

((v+4)*(v+2))/(v+6) = 0

((v+4)*(v+2))/(v+6) = 0 // * v+6

(v+4)*(v+2) = 0

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

( v+2 )

v+2 = 0 // - 2

v = -2

( v+4 )

v+4 = 0 // - 4

v = -4

v in { -2} 

v = -4

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