Answer
$$m=-6,\:m=-2,\:m=2$$
Work Step by Step
Solving the equation by factoring and setting the factors equal to zero, we find:
$$m^3+6m^2-4m-24=0 \\ \left(m+6\right)\left(m+2\right)\left(m-2\right)=0 \\ m=-6,\:m=-2,\:m=2$$
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