x/(x-3)=1/4

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Solution for x/(x-3)=1/4 equation: 


D( x )

x-3 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

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

x/(x-3) = 1/4 // - 1/4

x/(x-3)-(1/4) = 0

x/(x-3)-1/4 = 0

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

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

3*x+3 = 0

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

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

3*x+3 = 0

3*x+3 = 0 // - 3

3*x = -3 // : 3

x = -3/3

x = -1

x = -1

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