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D( x )
x-5 = 0
3*x-15 = 0
x-5 = 0
x-5 = 0
x-5 = 0 // + 5
x = 5
3*x-15 = 0
3*x-15 = 0
3*x-15 = 0 // + 15
3*x = 15 // : 3
x = 15/3
x = 5
x in (-oo:5) U (5:+oo)
18/(3*x-15)+1/(x-5) = 7/3 // - 7/3
18/(3*x-15)+1/(x-5)-(7/3) = 0
18/(3*x-15)+1/(x-5)-7/3 = 0
(3*18*(x-5))/(3*(3*x-15)*(x-5))+(1*3*(3*x-15))/(3*(3*x-15)*(x-5))+(-7*(3*x-15)*(x-5))/(3*(3*x-15)*(x-5)) = 0
3*18*(x-5)+1*3*(3*x-15)-7*(3*x-15)*(x-5) = 0
63*x-21*x^2+210*x-525-315 = 0
273*x-21*x^2-840 = 0
273*x-21*x^2-840 = 0
21*(13*x-x^2-40) = 0
13*x-x^2-40 = 0
DELTA = 13^2-(-40*(-1)*4)
DELTA = 9
DELTA > 0
x = (9^(1/2)-13)/(-1*2) or x = (-9^(1/2)-13)/(-1*2)
x = 5 or x = 8
21*(x-5)*(x-8) = 0
(21*(x-5)*(x-8))/(3*(3*x-15)*(x-5)) = 0
(21*(x-5)*(x-8))/(3*(3*x-15)*(x-5)) = 0 // * 3*(3*x-15)*(x-5)
21*(x-5)*(x-8) = 0
( x-5 )
x-5 = 0 // + 5
x = 5
( x-8 )
x-8 = 0 // + 8
x = 8
x in { 5}
x = 8
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