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D( x )
50-x = 0
x = 0
50-x = 0
50-x = 0
50-x = 0 // - 50
-x = -50 // * -1
x = 50
x = 0
x = 0
x in (-oo:0) U (0:50) U (50:+oo)
(x+50)/x = x/(50-x) // - x/(50-x)
(x+50)/x-(x/(50-x)) = 0
(x+50)/x+(-1*x)/(50-x) = 0
((x+50)*(50-x))/(x*(50-x))+(-1*x^2)/(x*(50-x)) = 0
(x+50)*(50-x)-1*x^2 = 0
2500-2*x^2 = 0
(2500-2*x^2)/(x*(50-x)) = 0
(2500-2*x^2)/(x*(50-x)) = 0 // * x*(50-x)
2500-2*x^2 = 0
-2*x^2 = -2500 // : -2
x^2 = 1250
x^2 = 1250 // ^ 1/2
abs(x) = 25*2^(1/2)
x = 25*2^(1/2) or x = -(25*2^(1/2))
x in { 25*2^(1/2), -(25*2^(1/2)) }
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