(5+(4/(v+6)))=(6/((v+1)(v+6)))

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Solution for (5+(4/(v+6)))=(6/((v+1)(v+6))) equation:


D( v )

v+6 = 0

(v+1)*(v+6) = 0

v+6 = 0

v+6 = 0

v+6 = 0 // - 6

v = -6

(v+1)*(v+6) = 0

(v+1)*(v+6) = 0

( v+1 )

v+1 = 0 // - 1

v = -1

( v+6 )

v+6 = 0 // - 6

v = -6

v in (-oo:-6) U (-6:-1) U (-1:+oo)

4/(v+6)+5 = 6/((v+1)*(v+6)) // - 6/((v+1)*(v+6))

4/(v+6)-(6/((v+1)*(v+6)))+5 = 0

4/(v+6)-6*(v+1)^-1*(v+6)^-1+5 = 0

4/(v+6)-6/((v+1)*(v+6))+5 = 0

(4*(v+1))/((v+6)*(v+1))-6/((v+6)*(v+1))+(5*(v+6)*(v+1))/((v+6)*(v+1)) = 0

4*(v+1)+5*(v+6)*(v+1)-6 = 0

5*v^2+4*v+35*v-2+30 = 0

5*v^2+39*v+28 = 0

5*v^2+39*v+28 = 0

5*v^2+39*v+28 = 0

DELTA = 39^2-(4*5*28)

DELTA = 961

DELTA > 0

v = (961^(1/2)-39)/(2*5) or v = (-961^(1/2)-39)/(2*5)

v = -4/5 or v = -7

(v+7)*(v+4/5) = 0

((v+7)*(v+4/5))/((v+6)*(v+1)) = 0

((v+7)*(v+4/5))/((v+6)*(v+1)) = 0 // * (v+6)*(v+1)

(v+7)*(v+4/5) = 0

( v+4/5 )

v+4/5 = 0 // - 4/5

v = -4/5

( v+7 )

v+7 = 0 // - 7

v = -7

v in { -4/5, -7 }

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