(2/y-3)-(6/3y+6)+(3/y-3)=0

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Solution for (2/y-3)-(6/3y+6)+(3/y-3)=0 equation: 


D( y )

y = 0

y = 0

y = 0

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

2/y-((6/3)*y)+3/y-6-3-3 = 0

2/y-2*y+3/y-6-3-3 = 0

5*y^-1-2*y^1-12*y^0 = 0

(5*y^0-2*y^2-12*y^1)/(y^1) = 0 // * y^2

y^1*(5*y^0-2*y^2-12*y^1) = 0

y^1

5-2*y^2-12*y = 0

5-2*y^2-12*y = 0

DELTA = (-12)^2-(-2*4*5)

DELTA = 184

DELTA > 0

y = (184^(1/2)+12)/(-2*2) or y = (12-184^(1/2))/(-2*2)

y = (2*46^(1/2)+12)/(-4) or y = (12-2*46^(1/2))/(-4)

y in { (2*46^(1/2)+12)/(-4), (12-2*46^(1/2))/(-4)} 

y in { (2*46^(1/2)+12)/(-4), (12-2*46^(1/2))/(-4) }

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