(2x-3)/x+4=x-(3/x)

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Solution for (2x-3)/x+4=x-(3/x) equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(2*x-3)/x+4 = x-(3/x) // - x-(3/x)

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

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

2*x-x*x+4*x-3+3 = 0

2*x-x^2+4*x-3+3 = 0

2*x-x^2+4*x = 0

6*x-x^2 = 0

6*x-x^2 = 0

x*(6-x) = 0

6-x = 0 // - 6

-x = -6 // * -1

x = 6

x*(x-6) = 0

(x*(x-6))/x = 0

(x*(x-6))/x = 0 // * x

x*(x-6) = 0

( x-6 )

x-6 = 0 // + 6

x = 6

( x )

x = 0

x in { 0} 

x = 6

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