((2x-5)/(x-3))=((4x+1)/(2x))

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Solution for ((2x-5)/(x-3))=((4x+1)/(2x)) equation: 


D( x )

x-3 = 0

2*x = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

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

(2*x-5)/(x-3) = (4*x+1)/(2*x) // - (4*x+1)/(2*x)

(2*x-5)/(x-3)-((4*x+1)/(2*x)) = 0

(2*x-5)/(x-3)+(-1*(4*x+1))/(2*x) = 0

(2*x*(2*x-5))/(2*x*(x-3))+(-1*(4*x+1)*(x-3))/(2*x*(x-3)) = 0

2*x*(2*x-5)-1*(4*x+1)*(x-3) = 0

x+3 = 0

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

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

x+3 = 0

x+3 = 0 // - 3

x = -3

x = -3

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