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D( x )
x = 0
x+1 = 0
x = 0
x = 0
x+1 = 0
x+1 = 0
x+1 = 0 // - 1
x = -1
x in (-oo:-1) U (-1:0) U (0:+oo)
12/x-(14/(x+1)) = 1/2 // - 1/2
12/x-(14/(x+1))-(1/2) = 0
12/x-14*(x+1)^-1-1/2 = 0
12/x-14/(x+1)-1/2 = 0
(-14*2*x)/(2*x*(x+1))+(2*12*(x+1))/(2*x*(x+1))+(-1*x*(x+1))/(2*x*(x+1)) = 0
2*12*(x+1)-1*x*(x+1)-14*2*x = 0
24-x^2-4*x-x = 0
24-x^2-5*x = 0
24-x^2-5*x = 0
24-x^2-5*x = 0
DELTA = (-5)^2-(-1*4*24)
DELTA = 121
DELTA > 0
x = (121^(1/2)+5)/(-1*2) or x = (5-121^(1/2))/(-1*2)
x = -8 or x = 3
(x+8)*(x-3) = 0
((x+8)*(x-3))/(2*x*(x+1)) = 0
((x+8)*(x-3))/(2*x*(x+1)) = 0 // * 2*x*(x+1)
(x+8)*(x-3) = 0
( x+8 )
x+8 = 0 // - 8
x = -8
( x-3 )
x-3 = 0 // + 3
x = 3
x in { -8, 3 }
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