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

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


D( x )

x-2 = 0

(5/3)*x-2 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

(5/3)*x-2 = 0

(5/3)*x-2 = 0

5/3*x-2 = 0 // + 2

5/3*x = 2 // : 5/3

x = 2/5/3

x = 6/5

x in (-oo:6/5) U (6/5:2) U (2:+oo)

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

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

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

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

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

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

4 = 0

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

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

4 = 0

4 = 0

x belongs to the empty set

x belongs to the empty set

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