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D( x )
4*x-12 = 0
x = 0
4*x-12 = 0
4*x-12 = 0
4*x-12 = 0 // + 12
4*x = 12 // : 4
x = 12/4
x = 3
x = 0
x = 0
x in (-oo:0) U (0:3) U (3:+oo)
8/x-(1/10)-3 = 32/(4*x-12) // - 32/(4*x-12)
8/x-(32/(4*x-12))-(1/10)-3 = 0
8/x-32*(4*x-12)^-1-1/10-3 = 0
8/x-32/(4*x-12)-1/10-3 = 0
(-32*10*x)/(10*x*(4*x-12))+(8*10*(4*x-12))/(10*x*(4*x-12))+(-1*x*(4*x-12))/(10*x*(4*x-12))+(-3*10*x*(4*x-12))/(10*x*(4*x-12)) = 0
8*10*(4*x-12)-1*x*(4*x-12)-3*10*x*(4*x-12)-32*10*x = 0
12*x-4*x^2-120*x^2+360*x-960 = 0
372*x-124*x^2-960 = 0
372*x-124*x^2-960 = 0
4*(93*x-31*x^2-240) = 0
93*x-31*x^2-240 = 0
DELTA = 93^2-(-240*(-31)*4)
DELTA = -21111
DELTA < 0
4 = 0
4/(10*x*(4*x-12)) = 0
4/(10*x*(4*x-12)) = 0 // * 10*x*(4*x-12)
4 = 0
x belongs to the empty set
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