(10)/(3x-5)=(5)/(2x)

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


D( x )

3*x-5 = 0

2*x = 0

3*x-5 = 0

3*x-5 = 0

3*x-5 = 0 // + 5

3*x = 5 // : 3

x = 5/3

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

x in (-oo:0) U (0:5/3) U (5/3:+oo)

10/(3*x-5) = 5/(2*x) // - 5/(2*x)

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

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

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

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

2*10*x-5*(3*x-5) = 0

5*x+25 = 0

(5*x+25)/(2*x*(3*x-5)) = 0

(5*x+25)/(2*x*(3*x-5)) = 0 // * 2*x*(3*x-5)

5*x+25 = 0

5*x+25 = 0 // - 25

5*x = -25 // : 5

x = -25/5

x = -5

x = -5

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