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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)
3/x-3 = (5/(x-3))*(x+7)-2/x+7 // - (5/(x-3))*(x+7)-2/x+7
3/x-((5/(x-3))*(x+7))-(-2/x)-7-3 = 0
3/x-5*(x-3)^-1*(x+7)+2*x^-1-7-3 = 0
(-5*(x+7))/(x-3)+3/x+2/x-7-3 = 0
(-5*x*(x+7))/(x*(x-3))+(3*(x-3))/(x*(x-3))+(2*(x-3))/(x*(x-3))+(-7*x*(x-3))/(x*(x-3))+(-3*x*(x-3))/(x*(x-3)) = 0
3*(x-3)-5*x*(x+7)+2*(x-3)-7*x*(x-3)-3*x*(x-3) = 0
2*x-5*x^2-7*x^2-3*x^2-32*x+21*x+9*x-9-6 = 0
21*x-5*x^2-7*x^2-3*x^2-30*x+9*x-15 = 0
9*x-12*x^2-3*x^2-9*x-15 = 0
-15*x^2-15 = 0
(-15*x^2-15)/(x*(x-3)) = 0
(-15*x^2-15)/(x*(x-3)) = 0 // * x*(x-3)
-15*x^2-15 = 0
-15*x^2 = 15 // : -15
x^2 = -1
x belongs to the empty set
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