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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x/(-3) = 7/x-10 // - 7/x-10
x/(-3)-(7/x)+10 = 0
x/(-3)-7*x^-1+10 = 0
10*x^0-1/3*x^1-7*x^-1 = 0
(10*x^1-1/3*x^2-7*x^0)/(x^1) = 0 // * x^2
x^1*(10*x^1-1/3*x^2-7*x^0) = 0
x^1
(-1/3)*x^2+10*x-7 = 0
(-1/3)*x^2+10*x-7 = 0
DELTA = 10^2-(-7*4*(-1/3))
DELTA = 272/3
DELTA > 0
x = ((272/3)^(1/2)-10)/(2*(-1/3)) or x = (-(272/3)^(1/2)-10)/(2*(-1/3))
x = -3/2*((272/3)^(1/2)-10) or x = 3/2*((272/3)^(1/2)+10)
x in { -3/2*((272/3)^(1/2)-10), 3/2*((272/3)^(1/2)+10)}
x in { -3/2*((272/3)^(1/2)-10), 3/2*((272/3)^(1/2)+10) }
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