(-4/(5v+30))+1=-7/(v+6)

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Solution for (-4/(5v+30))+1=-7/(v+6) equation:


D( v )

v+6 = 0

5*v+30 = 0

v+6 = 0

v+6 = 0

v+6 = 0 // - 6

v = -6

5*v+30 = 0

5*v+30 = 0

5*v+30 = 0 // - 30

5*v = -30 // : 5

v = -30/5

v = -6

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

1-4/(5*v+30) = -7/(v+6) // + -7/(v+6)

1-4/(5*v+30)-(-7/(v+6)) = 0

7*(v+6)^-1-4/(5*v+30)+1 = 0

7/(v+6)-4/(5*v+30)+1 = 0

(-4*(v+6))/((5*v+30)*(v+6))+(7*(5*v+30))/((5*v+30)*(v+6))+(1*(5*v+30)*(v+6))/((5*v+30)*(v+6)) = 0

7*(5*v+30)-4*(v+6)+1*(5*v+30)*(v+6) = 0

5*v^2+31*v+60*v+180+186 = 0

5*v^2+91*v+366 = 0

5*v^2+91*v+366 = 0

5*v^2+91*v+366 = 0

DELTA = 91^2-(4*5*366)

DELTA = 961

DELTA > 0

v = (961^(1/2)-91)/(2*5) or v = (-961^(1/2)-91)/(2*5)

v = -6 or v = -61/5

(v+61/5)*(v+6) = 0

((v+61/5)*(v+6))/((5*v+30)*(v+6)) = 0

((v+61/5)*(v+6))/((5*v+30)*(v+6)) = 0 // * (5*v+30)*(v+6)

(v+61/5)*(v+6) = 0

( v+6 )

v+6 = 0 // - 6

v = -6

( v+61/5 )

v+61/5 = 0 // - 61/5

v = -61/5

v in { -6}

v = -61/5

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