(5x-3)/(2x)=(10x+3)/(4x+1)

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Solution for (5x-3)/(2x)=(10x+3)/(4x+1) equation:


D( x )

4*x+1 = 0

2*x = 0

4*x+1 = 0

4*x+1 = 0

4*x+1 = 0 // - 1

4*x = -1 // : 4

x = -1/4

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

x in (-oo:-1/4) U (-1/4:0) U (0:+oo)

(5*x-3)/(2*x) = (10*x+3)/(4*x+1) // - (10*x+3)/(4*x+1)

(5*x-3)/(2*x)-((10*x+3)/(4*x+1)) = 0

(5*x-3)/(2*x)+(-1*(10*x+3))/(4*x+1) = 0

((5*x-3)*(4*x+1))/(2*x*(4*x+1))+(-1*2*x*(10*x+3))/(2*x*(4*x+1)) = 0

(5*x-3)*(4*x+1)-1*2*x*(10*x+3) = 0

-13*x-3 = 0

(-13*x-3)/(2*x*(4*x+1)) = 0

(-13*x-3)/(2*x*(4*x+1)) = 0 // * 2*x*(4*x+1)

-13*x-3 = 0

-13*x-3 = 0 // + 3

-13*x = 3 // : -13

x = 3/(-13)

x = -3/13

x = -3/13

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