Задача 23. Найдите корень уравнения \(5\left( {x + 4} \right) = -9\)
Решение
\(5\left( {x + 4} \right) = -9\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,5x + 20 = -9\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,5x = -9-20\,\,\,\,\,\, \Leftrightarrow \)
\( \Leftrightarrow \,\,\,\,\,\,5x = -29\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x = -\dfrac{{29}}{5}\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x = -5\dfrac{4}{5}\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x = -5,8.\)
Ответ: \(-5,8.\)