Answer
$$s=0,\:s=-\frac{5}{3},\:s=\frac{5}{3}$$
Work Step by Step
Solving the equation by factoring and setting the factors equal to zero, we find:
$$18s^3-50s=0 \\ 2s\left(3s+5\right)\left(3s-5\right)=0 \\ s=0,\:s=-\frac{5}{3},\:s=\frac{5}{3}$$