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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)
4/x-3 = (18/(x-3))*(x+5)-3/x+5 // - (18/(x-3))*(x+5)-3/x+5
4/x-((18/(x-3))*(x+5))-(-3/x)-5-3 = 0
4/x-18*(x-3)^-1*(x+5)+3*x^-1-5-3 = 0
(-18*(x+5))/(x-3)+4/x+3/x-5-3 = 0
(-18*x*(x+5))/(x*(x-3))+(4*(x-3))/(x*(x-3))+(3*(x-3))/(x*(x-3))+(-5*x*(x-3))/(x*(x-3))+(-3*x*(x-3))/(x*(x-3)) = 0
4*(x-3)-18*x*(x+5)+3*(x-3)-5*x*(x-3)-3*x*(x-3) = 0
3*x-18*x^2-5*x^2-3*x^2-86*x+15*x+9*x-12-9 = 0
15*x-18*x^2-5*x^2-3*x^2-83*x+9*x-21 = 0
9*x-23*x^2-3*x^2-68*x-21 = 0
-26*x^2-59*x-21 = 0
-26*x^2-59*x-21 = 0
-1*(26*x^2+59*x+21) = 0
26*x^2+59*x+21 = 0
DELTA = 59^2-(4*21*26)
DELTA = 1297
DELTA > 0
x = (1297^(1/2)-59)/(2*26) or x = (-1297^(1/2)-59)/(2*26)
x = (1297^(1/2)-59)/52 or x = (-(1297^(1/2)+59))/52
-1*(x+(1297^(1/2)+59)/52)*(x-((1297^(1/2)-59)/52)) = 0
(-1*(x+(1297^(1/2)+59)/52)*(x-((1297^(1/2)-59)/52)))/(x*(x-3)) = 0
(-1*(x+(1297^(1/2)+59)/52)*(x-((1297^(1/2)-59)/52)))/(x*(x-3)) = 0 // * x*(x-3)
-1*(x+(1297^(1/2)+59)/52)*(x-((1297^(1/2)-59)/52)) = 0
( x+(1297^(1/2)+59)/52 )
x+(1297^(1/2)+59)/52 = 0 // - (1297^(1/2)+59)/52
x = -((1297^(1/2)+59)/52)
( x-((1297^(1/2)-59)/52) )
x-((1297^(1/2)-59)/52) = 0 // + (1297^(1/2)-59)/52
x = (1297^(1/2)-59)/52
x in { -((1297^(1/2)+59)/52), (1297^(1/2)-59)/52 }
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