(1)/(6y^2+24y)-(3)/(y^2-y-20)

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Solution for (1)/(6y^2+24y)-(3)/(y^2-y-20) equation: 


D( y )

y^2-y-20 = 0

6*y^2+24*y = 0

y^2-y-20 = 0

y^2-y-20 = 0

y^2-y-20 = 0

DELTA = (-1)^2-(-20*1*4)

DELTA = 81

DELTA > 0

y = (81^(1/2)+1)/(1*2) or y = (1-81^(1/2))/(1*2)

y = 5 or y = -4

6*y^2+24*y = 0

6*y^2+24*y = 0

6*y^2+24*y = 0

DELTA = 24^2-(0*4*6)

DELTA = 576

DELTA > 0

y = (576^(1/2)-24)/(2*6) or y = (-576^(1/2)-24)/(2*6)

y = 0 or y = -4

y in (-oo:-4) U (-4:0) U (0:5) U (5:+oo)

1/(6*y^2+24*y)-(3/(y^2-y-20)) = 0

1/(6*y^2+24*y)-3*(y^2-y-20)^-1 = 0

1/(6*y^2+24*y)-3/(y^2-y-20) = 0

6*y^2+24*y = 0

6*y^2+24*y = 0

6*y*(y+4) = 0

y+4 = 0 // - 4

y = -4

6*y*(y+4) = 0

y^2-y-20 = 0

y^2-y-20 = 0

y^2-y-20 = 0

DELTA = (-1)^2-(-20*1*4)

DELTA = 81

DELTA > 0

y = (81^(1/2)+1)/(1*2) or y = (1-81^(1/2))/(1*2)

y = 5 or y = -4

(y+4)*(y-5) = 0

1/(6*y*(y+4))-3/((y+4)*(y-5)) = 0

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

1-3*6*y = 0

1-18*y = 0

(1-18*y)/(6*y*(y+4)) = 0

(1-18*y)/(6*y*(y+4)) = 0 // * 6*y*(y+4)

1-18*y = 0

1-18*y = 0 // - 1

-18*y = -1 // : -18

y = -1/(-18)

y = 1/18

y = 1/18

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