-(4/y+6)=(3/4y+24)+2

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Solution for -(4/y+6)=(3/4y+24)+2 equation: 


D( y )

y = 0

y = 0

y = 0

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

-(4/y+6) = (3/4)*y+2+24 // - (3/4)*y+2+24

-((3/4)*y)-(4/y)-24-6-2 = 0

(-3/4)*y-4*y^-1-24-6-2 = 0

-3/4*y^1-4*y^-1-32*y^0 = 0

(-3/4*y^2-32*y^1-4*y^0)/(y^1) = 0 // * y^2

y^1*(-3/4*y^2-32*y^1-4*y^0) = 0

y^1

(-3/4)*y^2-32*y-4 = 0

(-3/4)*y^2-32*y-4 = 0

DELTA = (-32)^2-(-4*4*(-3/4))

DELTA = 1012

DELTA > 0

y = (1012^(1/2)+32)/(2*(-3/4)) or y = (32-1012^(1/2))/(2*(-3/4))

y = -2/3*(2*253^(1/2)+32) or y = -2/3*(32-2*253^(1/2))

y in { -2/3*(2*253^(1/2)+32), -2/3*(32-2*253^(1/2))} 

y in { -2/3*(2*253^(1/2)+32), -2/3*(32-2*253^(1/2)) }

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