-7/((v+1)(v-7))=4+(3/(v-7))

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Solution for -7/((v+1)(v-7))=4+(3/(v-7)) equation: 


D( v )

v-7 = 0

(v+1)*(v-7) = 0

v-7 = 0

v-7 = 0

v-7 = 0 // + 7

v = 7

(v+1)*(v-7) = 0

(v+1)*(v-7) = 0

( v+1 )

v+1 = 0 // - 1

v = -1

( v-7 )

v-7 = 0 // + 7

v = 7

v in (-oo:-1) U (-1:7) U (7:+oo)

-7/((v+1)*(v-7)) = 3/(v-7)+4 // - 3/(v-7)+4

-7/((v+1)*(v-7))-(3/(v-7))-4 = 0

-7/((v+1)*(v-7))-3*(v-7)^-1-4 = 0

-7/((v+1)*(v-7))-3/(v-7)-4 = 0

(-3*(v+1))/((v+1)*(v-7))-7/((v+1)*(v-7))+(-4*(v+1)*(v-7))/((v+1)*(v-7)) = 0

-3*(v+1)-4*(v+1)*(v-7)-7 = 0

24*v-4*v^2-3*v-10+28 = 0

21*v-4*v^2+18 = 0

21*v-4*v^2+18 = 0

21*v-4*v^2+18 = 0

DELTA = 21^2-(-4*4*18)

DELTA = 729

DELTA > 0

v = (729^(1/2)-21)/(-4*2) or v = (-729^(1/2)-21)/(-4*2)

v = -3/4 or v = 6

(v+3/4)*(v-6) = 0

((v+3/4)*(v-6))/((v+1)*(v-7)) = 0

((v+3/4)*(v-6))/((v+1)*(v-7)) = 0 // * (v+1)*(v-7)

(v+3/4)*(v-6) = 0

( v+3/4 )

v+3/4 = 0 // - 3/4

v = -3/4

( v-6 )

v-6 = 0 // + 6

v = 6

v in { -3/4, 6 }

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