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D( x )
(x-7)^2 = 0
(x-7)^2 = 0
(x-7)^2 = 0
x-7 = 0 // + 7
x = 7
x in (-oo:7) U (7:+oo)
6-(6/((x-7)^2)) = 0
6-6*(x-7)^-2 = 0
6-6/((x-7)^2) = 0
(6*(x-7)^2)/((x-7)^2)-6/((x-7)^2) = 0
6*(x-7)^2-6 = 0
6*x^2-84*x+288 = 0
6*x^2-84*x+288 = 0
6*(x^2-14*x+48) = 0
x^2-14*x+48 = 0
DELTA = (-14)^2-(1*4*48)
DELTA = 4
DELTA > 0
x = (4^(1/2)+14)/(1*2) or x = (14-4^(1/2))/(1*2)
x = 8 or x = 6
6*(x-6)*(x-8) = 0
(6*(x-6)*(x-8))/((x-7)^2) = 0
(6*(x-6)*(x-8))/((x-7)^2) = 0 // * (x-7)^2
6*(x-6)*(x-8) = 0
( 6 )
6 = 0
x belongs to the empty set
( x-6 )
x-6 = 0 // + 6
x = 6
( x-8 )
x-8 = 0 // + 8
x = 8
x in { 6, 8 }
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