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D( x )
x-5 = 0
3*x = 0
x-5 = 0
x-5 = 0
x-5 = 0 // + 5
x = 5
3*x = 0
3*x = 0
3*x = 0 // : 3
x = 0
x in (-oo:0) U (0:5) U (5:+oo)
1/(x-5)+18/(3*x)-15 = 7/3 // - 7/3
1/(x-5)+18/(3*x)-(7/3)-15 = 0
1/(x-5)+18/(3*x)-7/3-15 = 0
1/(x-5)+6/x-7/3-15 = 0
(1*3*x)/(3*x*(x-5))+(3*6*(x-5))/(3*x*(x-5))+(-7*x*(x-5))/(3*x*(x-5))+(-15*3*x*(x-5))/(3*x*(x-5)) = 0
3*6*(x-5)-7*x*(x-5)-15*3*x*(x-5)+1*3*x = 0
21*x-7*x^2-45*x^2+35*x+225*x-90 = 0
56*x-7*x^2-45*x^2+225*x-90 = 0
281*x-52*x^2-90 = 0
281*x-52*x^2-90 = 0
281*x-52*x^2-90 = 0
DELTA = 281^2-(-90*(-52)*4)
DELTA = 60241
DELTA > 0
x = (60241^(1/2)-281)/(-52*2) or x = (-60241^(1/2)-281)/(-52*2)
x = (60241^(1/2)-281)/(-104) or x = (60241^(1/2)+281)/104
(x-((60241^(1/2)-281)/(-104)))*(x-((60241^(1/2)+281)/104)) = 0
((x-((60241^(1/2)-281)/(-104)))*(x-((60241^(1/2)+281)/104)))/(3*x*(x-5)) = 0
((x-((60241^(1/2)-281)/(-104)))*(x-((60241^(1/2)+281)/104)))/(3*x*(x-5)) = 0 // * 3*x*(x-5)
(x-((60241^(1/2)-281)/(-104)))*(x-((60241^(1/2)+281)/104)) = 0
( x-((60241^(1/2)+281)/104) )
x-((60241^(1/2)+281)/104) = 0 // + (60241^(1/2)+281)/104
x = (60241^(1/2)+281)/104
( x-((60241^(1/2)-281)/(-104)) )
x-((60241^(1/2)-281)/(-104)) = 0 // + (60241^(1/2)-281)/(-104)
x = (60241^(1/2)-281)/(-104)
x in { (60241^(1/2)+281)/104, (60241^(1/2)-281)/(-104) }
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