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D( x )
x^2-(7*x) = 0
x^2-(7*x) = 0
x^2-(7*x) = 0
x^2-7*x = 0
x^2-7*x = 0
DELTA = (-7)^2-(0*1*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)+7)/(1*2) or x = (7-49^(1/2))/(1*2)
x = 7 or x = 0
x in (-oo:0) U (0:7) U (7:+oo)
(7*x^2-(4*x)+28)/(x^2-(7*x)) = 28/(x^2-(7*x)) // - 28/(x^2-(7*x))
(7*x^2-(4*x)+28)/(x^2-(7*x))-(28/(x^2-(7*x))) = 0
(7*x^2-4*x+28)/(x^2-7*x)-28*(x^2-7*x)^-1 = 0
(7*x^2-4*x+28)/(x^2-7*x)-28/(x^2-7*x) = 0
x^2-7*x = 0
x^2-7*x = 0
x*(x-7) = 0
x-7 = 0 // + 7
x = 7
x*(x-7) = 0
(7*x^2-4*x+28)/(x*(x-7))-28/(x*(x-7)) = 0
7*x^2-4*x-28+28 = 0
7*x^2-4*x = 0
7*x^2-4*x = 0
x*(7*x-4) = 0
7*x-4 = 0 // + 4
7*x = 4 // : 7
x = 4/7
x*(x-4/7) = 0
(x*(x-4/7))/(x*(x-7)) = 0
(x*(x-4/7))/(x*(x-7)) = 0 // * x*(x-7)
x*(x-4/7) = 0
( x-4/7 )
x-4/7 = 0 // + 4/7
x = 4/7
( x )
x = 0
x in { 0}
x = 4/7
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