v+2/(2v-5)(v+3)-v-2/(v-5)(v+3)

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Solution for v+2/(2v-5)(v+3)-v-2/(v-5)(v+3) equation: 


D( v )

v-5 = 0

2*v-5 = 0

v-5 = 0

v-5 = 0

v-5 = 0 // + 5

v = 5

2*v-5 = 0

2*v-5 = 0

2*v-5 = 0 // + 5

2*v = 5 // : 2

v = 5/2

v in (-oo:5/2) U (5/2:5) U (5:+oo)

(2/(2*v-5))*(v+3)-((2/(v-5))*(v+3))+v-v = 0

(2/(2*v-5))*(v+3)-2*(v+3)*(v-5)^-1+v-v = 0

(2*(v+3))/(2*v-5)+(-2*(v+3))/(v-5)+v-v = 0

(2*(v+3)*(v-5))/((2*v-5)*(v-5))+(-2*(v+3)*(2*v-5))/((2*v-5)*(v-5))+(v*(2*v-5)*(v-5))/((2*v-5)*(v-5))+(-v*(2*v-5)*(v-5))/((2*v-5)*(v-5)) = 0

2*(v+3)*(v-5)-2*(v+3)*(2*v-5)+v*(2*v-5)*(v-5)-v*(2*v-5)*(v-5) = 0

2*v^3-2*v^3-2*v^2-15*v^2+15*v^2-6*v+25*v-25*v = 0

2*v^3-2*v^3-17*v^2+15*v^2+19*v-25*v = 0

-2*v^2-6*v = 0

-2*v^2-6*v = 0

-2*v*(v+3) = 0

v+3 = 0 // - 3

v = -3

-2*v*(v+3) = 0

(-2*v*(v+3))/((2*v-5)*(v-5)) = 0

(-2*v*(v+3))/((2*v-5)*(v-5)) = 0 // * (2*v-5)*(v-5)

-2*v*(v+3) = 0

( -2*v )

-2*v = 0 // : -2

v = 0

( v+3 )

v+3 = 0 // - 3

v = -3

v in { 0, -3 }

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