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

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


y in (-oo:+oo)

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

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

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

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

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

6*y^2-12*y-9 = 0

6*y^2-12*y-9 = 0

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

2*y^2-4*y-3 = 0

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

DELTA = 40

DELTA > 0

y = (40^(1/2)+4)/(2*2) or y = (4-40^(1/2))/(2*2)

y = (2*10^(1/2)+4)/4 or y = (4-2*10^(1/2))/4

3*(y-((4-2*10^(1/2))/4))*(y-((2*10^(1/2)+4)/4)) = 0

(3*(y-((4-2*10^(1/2))/4))*(y-((2*10^(1/2)+4)/4)))/3 = 0

(3*(y-((4-2*10^(1/2))/4))*(y-((2*10^(1/2)+4)/4)))/3 = 0 // * 3

3*(y-((4-2*10^(1/2))/4))*(y-((2*10^(1/2)+4)/4)) = 0

( y-((2*10^(1/2)+4)/4) )

y-((2*10^(1/2)+4)/4) = 0 // + (2*10^(1/2)+4)/4

y = (2*10^(1/2)+4)/4

( y-((4-2*10^(1/2))/4) )

y-((4-2*10^(1/2))/4) = 0 // + (4-2*10^(1/2))/4

y = (4-2*10^(1/2))/4

y in { (2*10^(1/2)+4)/4, (4-2*10^(1/2))/4 }

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