\[\ 100x^{2} - 16 = 0\]
\[(10x - 4)(10x + 4) = 0\]
\[10x - 4 = 0\ \ \ \ \ \ \ \ 10x + 4 = 0\]
\[10x = 4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 10x = - 4\]
\[x = 0,4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = - 0,4\]
\[Ответ:\ \ \ x = \pm 0,4.\]