(2*x)/(8-2*x)=0.5

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Solution for (2*x)/(8-2*x)=0.5 equation: 


D( x )

8-(2*x) = 0

8-(2*x) = 0

8-(2*x) = 0

8-2*x = 0

8-2*x = 0 // - 8

-2*x = -8 // : -2

x = -8/(-2)

x = 4

x in (-oo:4) U (4:+oo)

(2*x)/(8-(2*x)) = 0.5 // - 0.5

(2*x)/(8-(2*x))-0.5 = 0

(2*x)/(8-2*x)-0.5 = 0

(2*x)/(8-2*x)+(-0.5*(8-2*x))/(8-2*x) = 0

2*x-0.5*(8-2*x) = 0

3*x-4 = 0

(3*x-4)/(8-2*x) = 0

(3*x-4)/(8-2*x) = 0 // * 8-2*x

3*x-4 = 0

3*x-4 = 0 // + 4

3*x = 4 // : 3

x = 4/3

x = 4/3

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