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D( x )
x = 0
x+3 = 0
x = 0
x = 0
x+3 = 0
x+3 = 0
x+3 = 0 // - 3
x = -3
x in (-oo:-3) U (-3:0) U (0:+oo)
2/(x+3)+3/x = 1/2 // - 1/2
2/(x+3)+3/x-(1/2) = 0
2/(x+3)+3/x-1/2 = 0
(2^2*x)/(2*x*(x+3))+(2*3*(x+3))/(2*x*(x+3))+(-1*x*(x+3))/(2*x*(x+3)) = 0
2*3*(x+3)-1*x*(x+3)+2^2*x = 0
10*x-x^2-3*x+18 = 0
7*x-x^2+18 = 0
7*x-x^2+18 = 0
7*x-x^2+18 = 0
DELTA = 7^2-(-1*4*18)
DELTA = 121
DELTA > 0
x = (121^(1/2)-7)/(-1*2) or x = (-121^(1/2)-7)/(-1*2)
x = -2 or x = 9
(x+2)*(x-9) = 0
((x+2)*(x-9))/(2*x*(x+3)) = 0
((x+2)*(x-9))/(2*x*(x+3)) = 0 // * 2*x*(x+3)
(x+2)*(x-9) = 0
( x+2 )
x+2 = 0 // - 2
x = -2
( x-9 )
x-9 = 0 // + 9
x = 9
x in { -2, 9 }
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