Roots of a Quadratic Polynomial V

If the sum of the roots of the quadratic equation $$5x^2 + bx + 25=0$$is $\frac{1}{2}$, find the product of the roots of the equation $$10x^2 + b^2 x + b=0$$The answer is in the form $-\frac{\alpha}{\beta}$ for coprime integers $\alpha$ and $\beta$. Input the answer as the sum $\alpha +\beta$.