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D( x )
x+7 = 0
x+3 = 0
x+7 = 0
x+7 = 0
x+7 = 0 // - 7
x = -7
x+3 = 0
x+3 = 0
x+3 = 0 // - 3
x = -3
x in (-oo:-7) U (-7:-3) U (-3:+oo)
(3*x)/(x+3) = 6/(x+7) // - 6/(x+7)
(3*x)/(x+3)-(6/(x+7)) = 0
(3*x)/(x+3)-6*(x+7)^-1 = 0
(3*x)/(x+3)-6/(x+7) = 0
(3*x*(x+7))/((x+3)*(x+7))+(-6*(x+3))/((x+3)*(x+7)) = 0
3*x*(x+7)-6*(x+3) = 0
3*x^2+15*x-18 = 0
3*x^2+15*x-18 = 0
3*(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
3*(x+6)*(x-1) = 0
(3*(x+6)*(x-1))/((x+3)*(x+7)) = 0
(3*(x+6)*(x-1))/((x+3)*(x+7)) = 0 // * (x+3)*(x+7)
3*(x+6)*(x-1) = 0
( x+6 )
x+6 = 0 // - 6
x = -6
( x-1 )
x-1 = 0 // + 1
x = 1
x in { -6, 1 }
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