3/(2x-3)-1/(2-x)=0

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Solution for 3/(2x-3)-1/(2-x)=0 equation: 


D( x )

2-x = 0

2*x-3 = 0

2-x = 0

2-x = 0

2-x = 0 // - 2

-x = -2 // * -1

x = 2

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0 // + 3

2*x = 3 // : 2

x = 3/2

x in (-oo:3/2) U (3/2:2) U (2:+oo)

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

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

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

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

3*(2-x)-1*(2*x-3) = 0

9-5*x = 0

(9-5*x)/((2*x-3)*(2-x)) = 0

(9-5*x)/((2*x-3)*(2-x)) = 0 // * (2*x-3)*(2-x)

9-5*x = 0

9-5*x = 0 // - 9

-5*x = -9 // : -5

x = -9/(-5)

x = 9/5

x = 9/5

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