Limit, Continuity and Differentiability: JEE Main 2022 Mathematics question

Let f and g be twice differentiable even functions on ($-$2, 2) such that $f\left( {{1 \over 4}} \right) = 0$, $f\left( {{1 \over 2}} \right) = 0$, $f(1) = 1$ and $g\left( {{3 \over 4}} \right) = 0$, $g(1) = 2$. Then, the minimum number of solutions of $f(x)g''(x) + f'(x)g'(x) = 0$ in $( - 2,2)$ is equal to ________.