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D( x )
x-2 = 0
x-2 = 0
x-2 = 0
x-2 = 0 // + 2
x = 2
x in (-oo:2) U (2:+oo)
(x^2-(4*x))/(x-2) = (14-(9*x))/(x-2) // - (14-(9*x))/(x-2)
(x^2-(4*x))/(x-2)-((14-(9*x))/(x-2)) = 0
(x^2-4*x)/(x-2)-((14-9*x)/(x-2)) = 0
(x^2-4*x)/(x-2)+(-1*(14-9*x))/(x-2) = 0
x^2-1*(14-9*x)-4*x = 0
x^2+5*x-14 = 0
x^2+5*x-14 = 0
x^2+5*x-14 = 0
DELTA = 5^2-(-14*1*4)
DELTA = 81
DELTA > 0
x = (81^(1/2)-5)/(1*2) or x = (-81^(1/2)-5)/(1*2)
x = 2 or x = -7
(x+7)*(x-2) = 0
((x+7)*(x-2))/(x-2) = 0
((x+7)*(x-2))/(x-2) = 0 // * x-2
(x+7)*(x-2) = 0
( x+7 )
x+7 = 0 // - 7
x = -7
( x-2 )
x-2 = 0 // + 2
x = 2
x in { 2}
x = -7
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