2+5/3x-6=-2/(3x-6)

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Solution for 2+5/3x-6=-2/(3x-6) equation:


D( x )

3*x-6 = 0

3*x-6 = 0

3*x-6 = 0

3*x-6 = 0 // + 6

3*x = 6 // : 3

x = 6/3

x = 2

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

(5/3)*x-6+2 = -2/(3*x-6) // + -2/(3*x-6)

(5/3)*x-(-2/(3*x-6))-6+2 = 0

2*(3*x-6)^-1+(5/3)*x-6+2 = 0

2/(3*x-6)+(5*x)/3-6+2 = 0

(2*3)/(3*(3*x-6))+(5*x*(3*x-6))/(3*(3*x-6))+(-6*3*(3*x-6))/(3*(3*x-6))+(2*3*(3*x-6))/(3*(3*x-6)) = 0

5*x*(3*x-6)-6*3*(3*x-6)+2*3*(3*x-6)+2*3 = 0

15*x^2-30*x-54*x+18*x-36+6+108 = 0

15*x^2-84*x+18*x-36+114 = 0

15*x^2-66*x+78 = 0

15*x^2-66*x+78 = 0

3*(5*x^2-22*x+26) = 0

5*x^2-22*x+26 = 0

DELTA = (-22)^2-(4*5*26)

DELTA = -36

DELTA < 0

3 = 0

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

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

3 = 0

x belongs to the empty set

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