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D( x )
2*x+12 = 0
x+6 = 0
2*x+12 = 0
2*x+12 = 0
2*x+12 = 0 // - 12
2*x = -12 // : 2
x = -12/2
x = -6
x+6 = 0
x+6 = 0
x+6 = 0 // - 6
x = -6
x in (-oo:-6) U (-6:+oo)
8/(x+6) = 2-3/(2*x+12) // - 2-3/(2*x+12)
8/(x+6)-(-3/(2*x+12))-2 = 0
8/(x+6)+3*(2*x+12)^-1-2 = 0
8/(x+6)+3/(2*x+12)-2 = 0
(8*(2*x+12))/((x+6)*(2*x+12))+(3*(x+6))/((x+6)*(2*x+12))+(-2*(x+6)*(2*x+12))/((x+6)*(2*x+12)) = 0
8*(2*x+12)+3*(x+6)-2*(x+6)*(2*x+12) = 0
19*x-4*x^2-48*x-144+114 = 0
-4*x^2-29*x-30 = 0
-4*x^2-29*x-30 = 0
-1*(4*x^2+29*x+30) = 0
4*x^2+29*x+30 = 0
DELTA = 29^2-(4*4*30)
DELTA = 361
DELTA > 0
x = (361^(1/2)-29)/(2*4) or x = (-361^(1/2)-29)/(2*4)
x = -5/4 or x = -6
-1*(x+6)*(x+5/4) = 0
(-1*(x+6)*(x+5/4))/((x+6)*(2*x+12)) = 0
(-1*(x+6)*(x+5/4))/((x+6)*(2*x+12)) = 0 // * (x+6)*(2*x+12)
-1*(x+6)*(x+5/4) = 0
( x+5/4 )
x+5/4 = 0 // - 5/4
x = -5/4
( x+6 )
x+6 = 0 // - 6
x = -6
x in { -6}
x = -5/4
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