((x-2)/(2x))+1=((x+2)/x)

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Solution for ((x-2)/(2x))+1=((x+2)/x) equation:


D( x )

x = 0

2*x = 0

x = 0

x = 0

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

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

(x-2)/(2*x)+1 = (x+2)/x // - (x+2)/x

(x-2)/(2*x)-((x+2)/x)+1 = 0

(x-2)/(2*x)+(-1*(x+2))/x+1 = 0

(x*(x-2))/(2*x*x)+(-1*2*x*(x+2))/(2*x*x)+(1*2*x*x)/(2*x*x) = 0

x*(x-2)-1*2*x*(x+2)+1*2*x*x = 0

2*x^2-x^2-6*x = 0

x^2-6*x = 0

x^2-6*x = 0

x*(x-6) = 0

x-6 = 0 // + 6

x = 6

x*(x-6) = 0

(x*(x-6))/(2*x*x) = 0

(x*(x-6))/(2*x*x) = 0 // * 2*x*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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