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D( x )
x+6 = 0
x^2+5*x-6 = 0
x-1 = 0
x+6 = 0
x+6 = 0
x+6 = 0 // - 6
x = -6
x^2+5*x-6 = 0
x^2+5*x-6 = 0
x^2+5*x-6 = 0
DELTA = 5^2-(-6*1*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)-5)/(1*2) or x = (-49^(1/2)-5)/(1*2)
x = 1 or x = -6
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
x in (-oo:-6) U (-6:1) U (1:+oo)
x/(x-1)-(7/(x+6)) = (5*x+2)/(x^2+5*x-6) // - (5*x+2)/(x^2+5*x-6)
x/(x-1)-(7/(x+6))-((5*x+2)/(x^2+5*x-6)) = 0
x/(x-1)-7*(x+6)^-1-((5*x+2)/(x^2+5*x-6)) = 0
x/(x-1)-7/(x+6)+(-1*(5*x+2))/(x^2+5*x-6) = 0
x^2+5*x-6 = 0
x^2+5*x-6 = 0
x^2+5*x-6 = 0
DELTA = 5^2-(-6*1*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)-5)/(1*2) or x = (-49^(1/2)-5)/(1*2)
x = 1 or x = -6
(x+6)*(x-1) = 0
x/(x-1)-7/(x+6)+(-1*(5*x+2))/((x+6)*(x-1)) = 0
(x*(x+6))/((x-1)*(x+6))+(-7*(x-1))/((x-1)*(x+6))+(-1*(5*x+2))/((x-1)*(x+6)) = 0
x*(x+6)-7*(x-1)-1*(5*x+2) = 0
x^2-x-5*x-2+7 = 0
x^2-6*x+5 = 0
x^2-6*x+5 = 0
x^2-6*x+5 = 0
DELTA = (-6)^2-(1*4*5)
DELTA = 16
DELTA > 0
x = (16^(1/2)+6)/(1*2) or x = (6-16^(1/2))/(1*2)
x = 5 or x = 1
(x-1)*(x-5) = 0
((x-1)*(x-5))/((x-1)*(x+6)) = 0
((x-1)*(x-5))/((x-1)*(x+6)) = 0 // * (x-1)*(x+6)
(x-1)*(x-5) = 0
( x-1 )
x-1 = 0 // + 1
x = 1
( x-5 )
x-5 = 0 // + 5
x = 5
x in { 1}
x = 5
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