\[\boxed{\mathbf{Решаем}\mathbf{\ }\mathbf{устно}\mathbf{\ }\mathbf{параграф}\mathbf{\ }\mathbf{42}\mathbf{.}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[\boxed{\mathbf{1.}}\]
\[(x + 6)(x - 1,5) = 0\]
\[x + 6 = 0\]
\[x = - 6\]
\[x - 1,5 = 0\]
\[x = 1,5\]
\[Произведение\ корней:\ \]
\[- 6 \cdot 1,5 = - 9.\]
\[Ответ:\ - 9.\]
\[\boxed{\mathbf{2.}}\]
\[1)\ x + 4 = 1\]
\[x = - 3.\]
\[2)\ 0 \cdot x = 0\]
\[x - любое.\]
\[3)\ x - 2 = 5 + x\]
\[x - x = 5 + 2\]
\[0 \neq 7\]
\[нет\ решения.\]
\[4)\ x \cdot x = x\]
\[x^{2} - x = 0\]
\[x(x - 1) = 0\]
\[x = 0\ \ \ \ \ \ \ \ \ x - 1 = 0\]
\[\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = 1.\]
\[5)\ |x| + 2 = 1\]
\[|x| = - 1\]
\[нет\ решения.\]
\[Ответ:3)\ и\ 5).\]
\[\boxed{\mathbf{3.}}\]