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D( x )
2-x = 0
x-2 = 0
2-x = 0
2-x = 0
2-x = 0 // - 2
-x = -2 // * -1
x = 2
x-2 = 0
x-2 = 0
x-2 = 0 // + 2
x = 2
x in (-oo:2) U (2:+oo)
(6-x)/(x-2)-((5*x-7)/(2-x)) = 0
(6-x)/(x-2)+(-1*(5*x-7))/(2-x) = 0
((6-x)*(2-x))/((x-2)*(2-x))+(-1*(5*x-7)*(x-2))/((x-2)*(2-x)) = 0
(6-x)*(2-x)-1*(5*x-7)*(x-2) = 0
9*x-4*x^2-2 = 0
9*x-4*x^2-2 = 0
9*x-4*x^2-2 = 0
DELTA = 9^2-(-4*(-2)*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)-9)/(-4*2) or x = (-49^(1/2)-9)/(-4*2)
x = 1/4 or x = 2
(x-1/4)*(x-2) = 0
((x-1/4)*(x-2))/((x-2)*(2-x)) = 0
((x-1/4)*(x-2))/((x-2)*(2-x)) = 0 // * (x-2)*(2-x)
(x-1/4)*(x-2) = 0
( x-1/4 )
x-1/4 = 0 // + 1/4
x = 1/4
( x-2 )
x-2 = 0 // + 2
x = 2
x in { 2}
x = 1/4
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