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D( x )
5*x-20 = 0
x+2 = 0
x-4 = 0
5*x-20 = 0
5*x-20 = 0
5*x-20 = 0 // + 20
5*x = 20 // : 5
x = 20/5
x = 4
x+2 = 0
x+2 = 0
x+2 = 0 // - 2
x = -2
x-4 = 0
x-4 = 0
x-4 = 0 // + 4
x = 4
x in (-oo:-2) U (-2:4) U (4:+oo)
6/(5*x-20)-(7/(x+2)) = 5/(x-4) // - 5/(x-4)
6/(5*x-20)-(7/(x+2))-(5/(x-4)) = 0
6/(5*x-20)-7*(x+2)^-1-5*(x-4)^-1 = 0
6/(5*x-20)-7/(x+2)-5/(x-4) = 0
(6*(x+2)*(x-4))/((5*x-20)*(x+2)*(x-4))+(-7*(5*x-20)*(x-4))/((5*x-20)*(x+2)*(x-4))+(-5*(5*x-20)*(x+2))/((5*x-20)*(x+2)*(x-4)) = 0
6*(x+2)*(x-4)-7*(5*x-20)*(x-4)-5*(5*x-20)*(x+2) = 0
268*x-29*x^2-25*x^2+50*x-608+200 = 0
318*x-54*x^2-408 = 0
318*x-54*x^2-408 = 0
6*(53*x-9*x^2-68) = 0
53*x-9*x^2-68 = 0
DELTA = 53^2-(-68*(-9)*4)
DELTA = 361
DELTA > 0
x = (361^(1/2)-53)/(-9*2) or x = (-361^(1/2)-53)/(-9*2)
x = 17/9 or x = 4
6*(x-17/9)*(x-4) = 0
(6*(x-17/9)*(x-4))/((5*x-20)*(x+2)*(x-4)) = 0
(6*(x-17/9)*(x-4))/((5*x-20)*(x+2)*(x-4)) = 0 // * (5*x-20)*(x+2)*(x-4)
6*(x-17/9)*(x-4) = 0
( x-17/9 )
x-17/9 = 0 // + 17/9
x = 17/9
( x-4 )
x-4 = 0 // + 4
x = 4
x in { 4}
x = 17/9
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