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

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


D( x )

x-5 = 0

2*x = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

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

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

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

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

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

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

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

5*x+15 = 0

(5*x+15)/(2*x*(x-5)) = 0

(5*x+15)/(2*x*(x-5)) = 0 // * 2*x*(x-5)

5*x+15 = 0

5*x+15 = 0 // - 15

5*x = -15 // : 5

x = -15/5

x = -3

x = -3

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