Основы алгебры Примеры

$4 (x - 7) = 4 x - 28$

Этап 1

Упростим $4 (x - 7)$ .

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Этап 1.1

Применим свойство дистрибутивности.

$4 x + 4 \cdot - 7 = 4 x - 28$

Этап 1.2

Умножим $4$ на $- 7$ .

$4 x - 28 = 4 x - 28$

Этап 2

Построим график каждой части уравнения. Решение — абсцисса (координата x) точки пересечения.

$x \approx - 31.8\overline{9}, - 31.7\overline{9}, - 31.6\overline{9}, - 31.5\overline{9}, - 31.4\overline{9}, - 31.3\overline{9}, - 31.2\overline{9}, - 31.1\overline{9}, - 31.0\overline{9}, - 31, - 30.8\overline{9}, - 30.7\overline{9}, - 30.6\overline{9}, - 30.5\overline{9}, - 30.4\overline{9}, - 30.3\overline{9}, - 30.2\overline{9}, - 30.1\overline{9}, - 29.8\overline{9}, - 29.7\overline{9}, - 29.6\overline{9}, - 29.5\overline{9}, - 29.4\overline{9}, - 29.3\overline{9}, - 29.2\overline{9}, - 29.1\overline{9}, - 29.0\overline{9}, - 29, - 28.8\overline{9}, - 28.7\overline{9}, - 28.6\overline{9}, - 28.5\overline{9}, - 28.4\overline{9}, - 28.3\overline{9}, - 28.2\overline{9}, - 28.1\overline{9}, - 28.0\overline{9}, - 28, - 27.8\overline{9}, - 27.7\overline{9}, - 27.6\overline{9}, - 27.5\overline{9}, - 27.4\overline{9}, - 27.3\overline{9}, - 27.0\overline{9}, - 27, - 26.8\overline{9}, - 26.7\overline{9}, - 26.6\overline{9}, - 26.5\overline{9}, - 26.4\overline{9}, - 26.3\overline{9}, - 26.2\overline{9}, - 26, - 25.6\overline{9}, - 25.5\overline{9}, - 25.4\overline{9}, - 25.3\overline{9}, - 25.2\overline{9}, - 25.1\overline{9}, - 25.0\overline{9}, - 25, - 15.8\overline{9}, - 15.6\overline{9}, - 15.5\overline{9}, - \frac{31}{2}, - 15.3\overline{9}, - 15.1\overline{9}, - 15.0\overline{9}, - 15, - 14.8\overline{9}, - 14.6\overline{9}, - 14.5\overline{9}, - \frac{29}{2}, - 14.3\overline{9}, - 14.1\overline{9}, - 14.0\overline{9}, - 14, - 13.8\overline{9}, - 13.7\overline{9}, - 13.6\overline{9}, - \frac{27}{2}, - 13.3\overline{9}, - 13.2\overline{9}, - 13.1\overline{9}, - 13, - 12.8\overline{9}, - 12.7\overline{9}, - 12.6\overline{9}, - 12.5\overline{9}, - \frac{25}{2}, - 12.2\overline{9}, - 12.1\overline{9}, - 12.0\overline{9}, - 12, - \frac{59}{5}, - 11.6\overline{9}, - \frac{58}{5}, - \frac{23}{2}, - \frac{57}{5}, - \frac{56}{5}, - 11.0\overline{9}, - 11, - 10.8\overline{9}, - 10.6\overline{9}, - \frac{53}{5}, - \frac{21}{2}, - \frac{52}{5}, - 10.2\overline{9}, - 10.0\overline{9}, - 10, - 9.9, - \frac{49}{5}, - \frac{48}{5}, - \frac{19}{2}, - \frac{47}{5}, - 9.3, - 9.1, - 7.3, - \frac{36}{5}, - 3.9, - \frac{19}{5}, - \frac{18}{5}, - \frac{17}{5}, - 3.1, - 3, - \frac{14}{5}, - \frac{13}{5}, - 2.3, - \frac{11}{5}, - 2, - \frac{9}{5}, - \frac{3}{2}, - \frac{7}{5}, - \frac{6}{5}, - 1$

Этап 3