4/x-6/(2x-1)=1/(2x)

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Solution for 4/x-6/(2x-1)=1/(2x) equation:


D( x )

x = 0

2*x-1 = 0

2*x = 0

x = 0

x = 0

2*x-1 = 0

2*x-1 = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

x in (-oo:0) U (0:1/2) U (1/2:+oo)

4/x-(6/(2*x-1)) = 1/(2*x) // - 1/(2*x)

4/x-(6/(2*x-1))-(1/(2*x)) = 0

4/x-6*(2*x-1)^-1+(-1/2)*x^-1 = 0

4/x-6/(2*x-1)-1/(2*x) = 0

(-6*2*x*x)/(2*x*x*(2*x-1))+(2*4*x*(2*x-1))/(2*x*x*(2*x-1))+(-1*x*(2*x-1))/(2*x*x*(2*x-1)) = 0

2*4*x*(2*x-1)-1*x*(2*x-1)-6*2*x*x = 0

4*x^2-2*x^2-8*x+x = 0

2*x^2-7*x = 0

2*x^2-7*x = 0

x*(2*x-7) = 0

2*x-7 = 0 // + 7

2*x = 7 // : 2

x = 7/2

x*(x-7/2) = 0

(x*(x-7/2))/(2*x*x*(2*x-1)) = 0

(x*(x-7/2))/(2*x*x*(2*x-1)) = 0 // * 2*x*x*(2*x-1)

x*(x-7/2) = 0

( x-7/2 )

x-7/2 = 0 // + 7/2

x = 7/2

( x )

x = 0

x in { 0}

x = 7/2

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