Differentiation

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 ________.