m^3-4m^2+16m+192=0

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m^3-4m^2+16m+192=0m^3-4m^2+16m+192=0m^3-4m^2+16m+192=0m^3-4m^2+16m+192=0(m^3+4m^2)-(8m^2-16m-192)=0m

m^3-4m^2+16m+192=0
m^3-4m^2+16m+192=0

m^3-4m^2+16m+192=0
m^3-4m^2+16m+192=0
(m^3+4m^2)-(8m^2-16m-192)=0
m^2(m+4)-8(m^2-2m-24)=0
m^2(m+4)-8(m-6)(m+4)=0
(m+4)(m^2-8m+48)=0
(m+4)[(m-4)^2+32]=0
m=-4

m^3-4m^2+16m+192=0
(m+4)(m^2-8m+48)=0
所以m+4=0或m^2-8m+48=0
当m+4=0时,m=-4
当m^2-8m+48=0时,b^2-4ac=64-4*48=-128<0(无解)
所以m=-4