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D( x )
x+4 = 0
x = 0
x+4 = 0
x+4 = 0
x+4 = 0 // - 4
x = -4
x = 0
x = 0
x in (-oo:-4) U (-4:0) U (0:+oo)
1/(x+4)+1/x-(1/7) = 0
1/(x+4)+1/x-1/7 = 0
(1*7*x)/(7*x*(x+4))+(1*7*(x+4))/(7*x*(x+4))+(-1*x*(x+4))/(7*x*(x+4)) = 0
1*7*(x+4)-1*x*(x+4)+1*7*x = 0
14*x-x^2-4*x+28 = 0
10*x-x^2+28 = 0
10*x-x^2+28 = 0
10*x-x^2+28 = 0
DELTA = 10^2-(-1*4*28)
DELTA = 212
DELTA > 0
x = (212^(1/2)-10)/(-1*2) or x = (-212^(1/2)-10)/(-1*2)
x = (2*53^(1/2)-10)/(-2) or x = (-2*53^(1/2)-10)/(-2)
(x-((2*53^(1/2)-10)/(-2)))*(x-((-2*53^(1/2)-10)/(-2))) = 0
((x-((2*53^(1/2)-10)/(-2)))*(x-((-2*53^(1/2)-10)/(-2))))/(7*x*(x+4)) = 0
((x-((2*53^(1/2)-10)/(-2)))*(x-((-2*53^(1/2)-10)/(-2))))/(7*x*(x+4)) = 0 // * 7*x*(x+4)
(x-((2*53^(1/2)-10)/(-2)))*(x-((-2*53^(1/2)-10)/(-2))) = 0
( x-((-2*53^(1/2)-10)/(-2)) )
x-((-2*53^(1/2)-10)/(-2)) = 0 // + (-2*53^(1/2)-10)/(-2)
x = (-2*53^(1/2)-10)/(-2)
( x-((2*53^(1/2)-10)/(-2)) )
x-((2*53^(1/2)-10)/(-2)) = 0 // + (2*53^(1/2)-10)/(-2)
x = (2*53^(1/2)-10)/(-2)
x in { (-2*53^(1/2)-10)/(-2), (2*53^(1/2)-10)/(-2) }
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