(4y-8)/3y=6

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Solution for (4y-8)/3y=6 equation:


y in (-oo:+oo)

y*((4*y-8)/3) = 6 // - 6

y*((4*y-8)/3)-6 = 0

(y*(4*y-8))/3-6 = 0

(y*(4*y-8))/3+(-6*3)/3 = 0

y*(4*y-8)-6*3 = 0

4*y^2-8*y-18 = 0

4*y^2-8*y-18 = 0

2*(2*y^2-4*y-9) = 0

2*y^2-4*y-9 = 0

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

DELTA = 88

DELTA > 0

y = (88^(1/2)+4)/(2*2) or y = (4-88^(1/2))/(2*2)

y = (2*22^(1/2)+4)/4 or y = (4-2*22^(1/2))/4

2*(y-((4-2*22^(1/2))/4))*(y-((2*22^(1/2)+4)/4)) = 0

(2*(y-((4-2*22^(1/2))/4))*(y-((2*22^(1/2)+4)/4)))/3 = 0

(2*(y-((4-2*22^(1/2))/4))*(y-((2*22^(1/2)+4)/4)))/3 = 0 // * 3

2*(y-((4-2*22^(1/2))/4))*(y-((2*22^(1/2)+4)/4)) = 0

( y-((2*22^(1/2)+4)/4) )

y-((2*22^(1/2)+4)/4) = 0 // + (2*22^(1/2)+4)/4

y = (2*22^(1/2)+4)/4

( y-((4-2*22^(1/2))/4) )

y-((4-2*22^(1/2))/4) = 0 // + (4-2*22^(1/2))/4

y = (4-2*22^(1/2))/4

y in { (2*22^(1/2)+4)/4, (4-2*22^(1/2))/4 }

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