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D( x )
x-5 = 0
x-5 = 0
x-5 = 0
x-5 = 0 // + 5
x = 5
x in (-oo:5) U (5:+oo)
2/(x-5) = x/12 // - x/12
2/(x-5)-(x/12) = 0
2/(x-5)-x/12 = 0
(2*12)/(12*(x-5))+(-x*(x-5))/(12*(x-5)) = 0
2*12-x*(x-5) = 0
5*x-x^2+24 = 0
5*x-x^2+24 = 0
5*x-x^2+24 = 0
DELTA = 5^2-(-1*4*24)
DELTA = 121
DELTA > 0
x = (121^(1/2)-5)/(-1*2) or x = (-121^(1/2)-5)/(-1*2)
x = -3 or x = 8
(x+3)*(x-8) = 0
((x+3)*(x-8))/(12*(x-5)) = 0
((x+3)*(x-8))/(12*(x-5)) = 0 // * 12*(x-5)
(x+3)*(x-8) = 0
( x+3 )
x+3 = 0 // - 3
x = -3
( x-8 )
x-8 = 0 // + 8
x = 8
x in { -3, 8 }
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