Y=x/(7x-8)

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Solution for Y=x/(7x-8) equation: 


D( x )

7*x-8 = 0

7*x-8 = 0

7*x-8 = 0

7*x-8 = 0 // + 8

7*x = 8 // : 7

x = 8/7

x in (-oo:8/7) U (8/7:+oo)

Y = x/(7*x-8) // - x/(7*x-8)

Y-(x/(7*x-8)) = 0

(-1*x)/(7*x-8)+Y = 0

(-1*x)/(7*x-8)+(Y*(7*x-8))/(7*x-8) = 0

Y*(7*x-8)-1*x = 0

7*Y*x-8*Y-x = 0

7*Y*x-8*Y-x = 0

7*Y*x-8*Y = 0 // + -8*Y

7*Y*x = -(-8*Y) // : 7*Y

x = (-(-8*Y))/(7*Y)

x = 8/7

x-8/7 = 0

(x-8/7)/(7*x-8) = 0

(x-8/7)/(7*x-8) = 0 // * 7*x-8

x-8/7 = 0

x-8/7 = 0 // + 8/7

x = 8/7

x in { 8/7} 

x belongs to the empty set

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