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D( x )
x = 0
2*x = 0
3*x^2+12*x = 0
x = 0
x = 0
2*x = 0
2*x = 0
2*x = 0 // : 2
x = 0
3*x^2+12*x = 0
3*x^2+12*x = 0
3*x^2+12*x = 0
DELTA = 12^2-(0*3*4)
DELTA = 144
DELTA > 0
x = (144^(1/2)-12)/(2*3) or x = (-144^(1/2)-12)/(2*3)
x = 0 or x = -4
x in (-oo:-4) U (-4:0) U (0:+oo)
3/(3*x^2+12*x)+1/(2*x) = 3/x // - 3/x
3/(3*x^2+12*x)+1/(2*x)-(3/x) = 0
3/(3*x^2+12*x)+1/(2*x)-3*x^-1 = 0
3/(3*x^2+12*x)+1/(2*x)-3/x = 0
3*x^2+12*x = 0
3*x^2+12*x = 0
3*x*(x+4) = 0
x+4 = 0 // - 4
x = -4
3*x*(x+4) = 0
3/(3*x*(x+4))+1/(2*x)-3/x = 0
(2*3*x*x)/(2*3*x*x*x*(x+4))+(1*3*x*x*(x+4))/(2*3*x*x*x*(x+4))+(-3*2*3*x*x*(x+4))/(2*3*x*x*x*(x+4)) = 0
1*3*x*x*(x+4)-3*2*3*x*x*(x+4)+2*3*x*x = 0
3*x^3-18*x^3+18*x^2-72*x^2 = 0
-15*x^3-54*x^2 = 0
-15*x^3-54*x^2 = 0
-3*x^2*(5*x+18) = 0
5*x+18 = 0 // - 18
5*x = -18 // : 5
x = -18/5
-3*x^2*(x+18/5) = 0
(-3*x^2*(x+18/5))/(2*3*x*x*x*(x+4)) = 0
(-3*x^2*(x+18/5))/(2*3*x*x*x*(x+4)) = 0 // * 2*3*x*x*x*(x+4)
-3*x^2*(x+18/5) = 0
( -3*x^2 )
-3*x^2 = 0 // : -3
x^2 = 0
x = 0
( x+18/5 )
x+18/5 = 0 // - 18/5
x = -18/5
x in { 0}
x = -18/5
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