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D( x )
x^2+5*x+6 = 0
x^2-(5*x)-14 = 0
x^2+5*x+6 = 0
x^2+5*x+6 = 0
x^2+5*x+6 = 0
DELTA = 5^2-(1*4*6)
DELTA = 1
DELTA > 0
x = (1^(1/2)-5)/(1*2) or x = (-1^(1/2)-5)/(1*2)
x = -2 or x = -3
x^2-(5*x)-14 = 0
x^2-(5*x)-14 = 0
x^2-5*x-14 = 0
x^2-5*x-14 = 0
DELTA = (-5)^2-(-14*1*4)
DELTA = 81
DELTA > 0
x = (81^(1/2)+5)/(1*2) or x = (5-81^(1/2))/(1*2)
x = 7 or x = -2
x in (-oo:-3) U (-3:-2) U (-2:7) U (7:+oo)
3/(x^2-(5*x)-14) = 4/(x^2+5*x+6) // - 4/(x^2+5*x+6)
3/(x^2-(5*x)-14)-(4/(x^2+5*x+6)) = 0
3/(x^2-5*x-14)-4*(x^2+5*x+6)^-1 = 0
3/(x^2-5*x-14)-4/(x^2+5*x+6) = 0
x^2-5*x-14 = 0
x^2-5*x-14 = 0
x^2-5*x-14 = 0
DELTA = (-5)^2-(-14*1*4)
DELTA = 81
DELTA > 0
x = (81^(1/2)+5)/(1*2) or x = (5-81^(1/2))/(1*2)
x = 7 or x = -2
(x+2)*(x-7) = 0
x^2+5*x+6 = 0
x^2+5*x+6 = 0
x^2+5*x+6 = 0
DELTA = 5^2-(1*4*6)
DELTA = 1
DELTA > 0
x = (1^(1/2)-5)/(1*2) or x = (-1^(1/2)-5)/(1*2)
x = -2 or x = -3
(x+3)*(x+2) = 0
3/((x+2)*(x-7))-4/((x+3)*(x+2)) = 0
(3*(x+3))/((x+2)*(x-7)*(x+3))+(-4*(x-7))/((x+2)*(x-7)*(x+3)) = 0
3*(x+3)-4*(x-7) = 0
37-x = 0
(37-x)/((x+2)*(x-7)*(x+3)) = 0
(37-x)/((x+2)*(x-7)*(x+3)) = 0 // * (x+2)*(x-7)*(x+3)
37-x = 0
37-x = 0 // - 37
-x = -37 // * -1
x = 37
x = 37
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