(3y-6)/2y=17/3

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Solution for (3y-6)/2y=17/3 equation:


y in (-oo:+oo)

y*((3*y-6)/2) = 17/3 // - 17/3

y*((3*y-6)/2)-(17/3) = 0

y*((3*y-6)/2)-17/3 = 0

(y*(3*y-6))/2-17/3 = 0

(3*y*(3*y-6))/(2*3)+(-17*2)/(2*3) = 0

3*y*(3*y-6)-17*2 = 0

9*y^2-18*y-34 = 0

9*y^2-18*y-34 = 0

9*y^2-18*y-34 = 0

DELTA = (-18)^2-(-34*4*9)

DELTA = 1548

DELTA > 0

y = (1548^(1/2)+18)/(2*9) or y = (18-1548^(1/2))/(2*9)

y = (6*43^(1/2)+18)/18 or y = (18-6*43^(1/2))/18

(y-((18-6*43^(1/2))/18))*(y-((6*43^(1/2)+18)/18)) = 0

((y-((18-6*43^(1/2))/18))*(y-((6*43^(1/2)+18)/18)))/(2*3) = 0

((y-((18-6*43^(1/2))/18))*(y-((6*43^(1/2)+18)/18)))/(2*3) = 0 // * 2*3

(y-((18-6*43^(1/2))/18))*(y-((6*43^(1/2)+18)/18)) = 0

( y-((18-6*43^(1/2))/18) )

y-((18-6*43^(1/2))/18) = 0 // + (18-6*43^(1/2))/18

y = (18-6*43^(1/2))/18

( y-((6*43^(1/2)+18)/18) )

y-((6*43^(1/2)+18)/18) = 0 // + (6*43^(1/2)+18)/18

y = (6*43^(1/2)+18)/18

y in { (18-6*43^(1/2))/18, (6*43^(1/2)+18)/18 }

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