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

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


D( x )

2-x = 0

3-x = 0

2-x = 0

2-x = 0

2-x = 0 // - 2

-x = -2 // * -1

x = 2

3-x = 0

3-x = 0

3-x = 0 // - 3

-x = -3 // * -1

x = 3

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

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

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

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

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

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

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

x-6 = 0

(x-6)/((3-x)*(2-x)) = 0

(x-6)/((3-x)*(2-x)) = 0 // * (3-x)*(2-x)

x-6 = 0

x-6 = 0 // + 6

x = 6

x = 6

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