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D( x )
x^2 = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
(3*x)/(x^2)-(7*x) = 8 // - 8
(3*x)/(x^2)-(7*x)-8 = 0
(3*x)/(x^2)-7*x-8 = 0
3*x^-1-7*x^1-8*x^0 = 0
(3*x^0-7*x^2-8*x^1)/(x^1) = 0 // * x^2
x^1*(3*x^0-7*x^2-8*x^1) = 0
x^1
3-7*x^2-8*x = 0
3-7*x^2-8*x = 0
DELTA = (-8)^2-(-7*3*4)
DELTA = 148
DELTA > 0
x = (148^(1/2)+8)/(-7*2) or x = (8-148^(1/2))/(-7*2)
x = (2*37^(1/2)+8)/(-14) or x = (8-2*37^(1/2))/(-14)
x in { (2*37^(1/2)+8)/(-14), (8-2*37^(1/2))/(-14)}
x in { (2*37^(1/2)+8)/(-14), (8-2*37^(1/2))/(-14) }
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