6/(x-5)=4/x

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Solution for 6/(x-5)=4/x equation: 


D( x )

x-5 = 0

x = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x = 0

x = 0

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

6/(x-5) = 4/x // - 4/x

6/(x-5)-(4/x) = 0

6/(x-5)-4*x^-1 = 0

6/(x-5)-4/x = 0

(6*x)/(x*(x-5))+(-4*(x-5))/(x*(x-5)) = 0

6*x-4*(x-5) = 0

2*x+20 = 0

(2*x+20)/(x*(x-5)) = 0

(2*x+20)/(x*(x-5)) = 0 // * x*(x-5)

2*x+20 = 0

2*x+20 = 0 // - 20

2*x = -20 // : 2

x = -20/2

x = -10

x = -10

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