\[\boxed{\text{4.\ 377}}\]
\[\textbf{а)}\ (z - 5)(z - 7) = 0\]
\[z - 5 = 0\ \ \ \ \ \ z - 7 = 0\]
\[z = 5\ \ \ \ \ \ \ \ \ \ \ \ \ \ z = 7.\]
\[Ответ:z = 5;z = 7.\]
\[\textbf{б)}\ (z + 2)(z + 9) = 0\]
\[z + 2 = 0\ \ \ \ \ \ \ \ z + 9 = 0\]
\[z = - 2\ \ \ \ \ \ \ \ \ \ \ z = - 9\]
\[Ответ:z = - 2;\ \ z = - 9.\]
\[\textbf{в)}\ (2z + 6)(z - 4) = 0\]
\[2z + 6 = 0\ \ \ \ \ \ \ \ z - 4 = 0\]
\[2z = - 6\ \ \ \ \ \ \ \ \ \ \ \ \ z = 4\]
\[z = - 3\]
\[Ответ:z = - 3;\ \ z = 4.\]
\[\textbf{г)}\ ( - z - 2)(14 - 7z) = 0\]
\[- z - 2 = 0\ \ \ \ \ \ \ \ \ \ 14 - 7z = 0\]
\[- z = 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ - 7z = - 14\]
\[z = - 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ z = 2\]
\[Ответ:z = \pm 2.\]