5(2y-3)/3y=3

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Solution for 5(2y-3)/3y=3 equation: 


y in (-oo:+oo)

y*((5*(2*y-3))/3) = 3 // - 3

y*((5*(2*y-3))/3)-3 = 0

(5*y*(2*y-3))/3-3 = 0

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

5*y*(2*y-3)-3*3 = 0

10*y^2-15*y-9 = 0

10*y^2-15*y-9 = 0

10*y^2-15*y-9 = 0

DELTA = (-15)^2-(-9*4*10)

DELTA = 585

DELTA > 0

y = (585^(1/2)+15)/(2*10) or y = (15-585^(1/2))/(2*10)

y = (3*65^(1/2)+15)/20 or y = (15-3*65^(1/2))/20

(y-((15-3*65^(1/2))/20))*(y-((3*65^(1/2)+15)/20)) = 0

((y-((15-3*65^(1/2))/20))*(y-((3*65^(1/2)+15)/20)))/3 = 0

((y-((15-3*65^(1/2))/20))*(y-((3*65^(1/2)+15)/20)))/3 = 0 // * 3

(y-((15-3*65^(1/2))/20))*(y-((3*65^(1/2)+15)/20)) = 0

( y-((15-3*65^(1/2))/20) )

y-((15-3*65^(1/2))/20) = 0 // + (15-3*65^(1/2))/20

y = (15-3*65^(1/2))/20

( y-((3*65^(1/2)+15)/20) )

y-((3*65^(1/2)+15)/20) = 0 // + (3*65^(1/2)+15)/20

y = (3*65^(1/2)+15)/20

y in { (15-3*65^(1/2))/20, (3*65^(1/2)+15)/20 }

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