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

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


D( x )

x = 0

2*x-3 = 0

x = 0

x = 0

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0 // + 3

2*x = 3 // : 2

x = 3/2

x in (-oo:0) U (0:3/2) U (3/2:+oo)

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

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

2/x-4*(2*x-3)^-1 = 0

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

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

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

-6 = 0

-6/(x*(2*x-3)) = 0

-6/(x*(2*x-3)) = 0 // * x*(2*x-3)

-6 = 0

-6 = 0

x belongs to the empty set

x belongs to the empty set

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