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D( x )
x-5 = 0
5-x = 0
x-5 = 0
x-5 = 0
x-5 = 0 // + 5
x = 5
5-x = 0
5-x = 0
5-x = 0 // - 5
-x = -5 // * -1
x = 5
x in (-oo:5) U (5:+oo)
-7/(5-x)-((6*x-23)/(x-5)) = 0
(-1*(6*x-23))/(x-5)-7/(5-x) = 0
(-7*(x-5))/((5-x)*(x-5))+(-1*(6*x-23)*(5-x))/((5-x)*(x-5)) = 0
-7*(x-5)-1*(6*x-23)*(5-x) = 0
6*x^2-60*x+150 = 0
6*x^2-60*x+150 = 0
6*(x^2-10*x+25) = 0
x^2-10*x+25 = 0
DELTA = (-10)^2-(1*4*25)
DELTA = 0
x = 10/(1*2)
x = 5 or x = 5
6*(x-5)^2 = 0
(6*(x-5)^2)/((5-x)*(x-5)) = 0
(6*(x-5)^2)/((5-x)*(x-5)) = 0 // * (5-x)*(x-5)
6*(x-5)^2 = 0
( 6 )
6 = 0
x belongs to the empty set
( x-5 )
x-5 = 0 // + 5
x = 5
x in { 5}
x belongs to the empty set
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