Step-by-step explanation:
18m^3+ 9m^2 + 4m + 7=(9m^2 + 7)
18m^3+9m^2+4m+7=9m^2 + 7
18m^3+9m^2+4m+7-7=9m2+7-7
18m^3+9m^2+4m=9m^2
18m^3+9m^2+4m-9m^2-9m^2
18m^3+4m=0
factor 18m^3+4m:. 2m(9m^2+2)
2m (9m^2+2)=0
using the zero factor principle: if an=0 then a=0 or b=0
m=0 or 9m^2+2=0
solve 9m^2+2=0:. m= i√2 m= -i√2
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3 3
The solutions are:
m=0, m= i√2 m= -i√2
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3 3
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