8/(3x-3)=8/(x+3)-2/3

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Solution for 8/(3x-3)=8/(x+3)-2/3 equation: 


D( x )

3*x-3 = 0

x+3 = 0

3*x-3 = 0

3*x-3 = 0

3*x-3 = 0 // + 3

3*x = 3 // : 3

x = 3/3

x = 1

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x in (-oo:-3) U (-3:1) U (1:+oo)

8/(3*x-3) = 8/(x+3)-(2/3) // - 8/(x+3)-(2/3)

8/(3*x-3)-(8/(x+3))+2/3 = 0

8/(3*x-3)-8*(x+3)^-1+2/3 = 0

8/(3*x-3)-8/(x+3)+2/3 = 0

(3*8*(x+3))/(3*(3*x-3)*(x+3))+(-8*3*(3*x-3))/(3*(3*x-3)*(x+3))+(2*(3*x-3)*(x+3))/(3*(3*x-3)*(x+3)) = 0

3*8*(x+3)-8*3*(3*x-3)+2*(3*x-3)*(x+3) = 0

6*x^2-48*x+12*x-18+144 = 0

6*x^2-36*x+126 = 0

6*x^2-36*x+126 = 0

6*(x^2-6*x+21) = 0

x^2-6*x+21 = 0

DELTA = (-6)^2-(1*4*21)

DELTA = -48

DELTA < 0

6 = 0

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

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

6 = 0

x belongs to the empty set

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