Answer
$$s=3,\:s=-1$$
Work Step by Step
Solving the equation using the quadratic formula, we find:
$$s_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\left(-3\right)}}{2\cdot \:1} \\ s=3,\:s=-1$$
Checking by factoring the expression, we find:
$$s\left(s+1\right)-3\left(s+1\right)\\ \left(s+1\right)\left(s-3\right)$$