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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:0) U (0:3) U (3:+oo)
(x+5)/(x-3) = (2*x+7)/x // - (2*x+7)/x
(x+5)/(x-3)-((2*x+7)/x) = 0
(x+5)/(x-3)+(-1*(2*x+7))/x = 0
(x*(x+5))/(x*(x-3))+(-1*(2*x+7)*(x-3))/(x*(x-3)) = 0
x*(x+5)-1*(2*x+7)*(x-3) = 0
4*x-x^2+21 = 0
4*x-x^2+21 = 0
4*x-x^2+21 = 0
DELTA = 4^2-(-1*4*21)
DELTA = 100
DELTA > 0
x = (100^(1/2)-4)/(-1*2) or x = (-100^(1/2)-4)/(-1*2)
x = -3 or x = 7
(x+3)*(x-7) = 0
((x+3)*(x-7))/(x*(x-3)) = 0
((x+3)*(x-7))/(x*(x-3)) = 0 // * x*(x-3)
(x+3)*(x-7) = 0
( x+3 )
x+3 = 0 // - 3
x = -3
( x-7 )
x-7 = 0 // + 7
x = 7
x in { -3, 7 }
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