Đại số sơ cấp Ví dụ

$9 (- 4 x - 16) = - 12 (12 + 3 x)$

Bước 1

Rút gọn $9 (- 4 x - 16)$ .

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Bước 1.1

Áp dụng thuộc tính phân phối.

$9 (- 4 x) + 9 \cdot - 16 = - 12 (12 + 3 x)$

Bước 1.2

Nhân.

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Bước 1.2.1

Nhân $- 4$ với $9$ .

$- 36 x + 9 \cdot - 16 = - 12 (12 + 3 x)$

Bước 1.2.2

Nhân $9$ với $- 16$ .

$- 36 x - 144 = - 12 (12 + 3 x)$

Bước 2

Rút gọn $- 12 (12 + 3 x)$ .

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Bước 2.1

Áp dụng thuộc tính phân phối.

$- 36 x - 144 = - 12 \cdot 12 - 12 (3 x)$

Bước 2.2

Nhân.

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Bước 2.2.1

Nhân $- 12$ với $12$ .

$- 36 x - 144 = - 144 - 12 (3 x)$

Bước 2.2.2

Nhân $3$ với $- 12$ .

$- 36 x - 144 = - 144 - 36 x$

Bước 3

Vẽ đồ thị mỗi vế của phương trình. nghiệm là giá trị x của giao điểm.

$x \approx - 49.8, - 49.7, - 49.6, - 49.5, - 49.4, - 49.3, - 49.2, - 49, - 48.9, - 48.8, - 48.6, - 48.5, - 48.2, - 48.1, - 47.9, - 47.8, - 47.7, - 47.6, - 47.4, - 47.3, - 47.2, - 47.1, - 47, - 46.9, - 46.6, - 46.5, - 46.2\overline{9}, - 46.1\overline{9}, - 46.0\overline{9}, - 46, - 45.7\overline{9}, - 45.6\overline{9}, - 45.5\overline{9}, - 45.3\overline{9}, - 45.2\overline{9}, - 45, - 44.8\overline{9}, - 44.6\overline{9}, - 44.5\overline{9}, - 44.4\overline{9}, - 44.3\overline{9}, - 44.1\overline{9}, - 44.0\overline{9}, - 44, - 43.7\overline{9}, - 43.6\overline{9}, - 43.3\overline{9}, - 43.2\overline{9}, - 43.0\overline{9}, - 43, - 42.8\overline{9}, - 42.7\overline{9}, - 42.4\overline{9}, - 42.3\overline{9}, - 41.4\overline{9}, - 41.3\overline{9}, - 41.2\overline{9}, - 41.1\overline{9}, - 40.8\overline{9}, - 40.7\overline{9}, - 39.8\overline{9}, - 39.7\overline{9}, - 39.6\overline{9}, - 39.5\overline{9}, - 39.2\overline{9}, - 39.1\overline{9}, - 38.2\overline{9}, - 38.1\overline{9}, - 38.0\overline{9}, - 38, - 37.6\overline{9}, - 37.5\overline{9}, - 36.6\overline{9}, - 36.5\overline{9}, - 36.4\overline{9}, - 36.3\overline{9}, - 36.1\overline{9}, - 36.0\overline{9}, - 36, - 35.0\overline{9}, - 35, - 34.8\overline{9}, - 34.7\overline{9}, - 34.4\overline{9}, - 34.3\overline{9}, - 33.4\overline{9}, - 33.3\overline{9}, - 33.2\overline{9}, - 33.1\overline{9}, - 32.8\overline{9}, - 32.7\overline{9}, - 32.0\overline{9}, - 32, - 31.7\overline{9}, - 31.6\overline{9}, - 31.5\overline{9}, - 31.2\overline{9}, - 31.1\overline{9}, - 31, - 30.8\overline{9}, - 30.7\overline{9}, - 30.4\overline{9}, - 30.3\overline{9}, - 30.2\overline{9}, - 30.1\overline{9}, - 30.0\overline{9}, - 30, - 29.6\overline{9}, - 29.5\overline{9}, - 29.3\overline{9}, - 29.2\overline{9}, - 29.1\overline{9}, - 28.8\overline{9}, - 28.7\overline{9}, - 28.5\overline{9}, - 28.4\overline{9}, - 28.3\overline{9}, - 28.0\overline{9}, - 28, - 27.7\overline{9}, - 27.6\overline{9}, - 27.5\overline{9}, - 27.2\overline{9}, - 27.1\overline{9}, - 27, - 26.8\overline{9}, - 26.7\overline{9}, - 26.4\overline{9}, - 26.3\overline{9}, - 26.1\overline{9}, - 26.0\overline{9}, - 26, - 25.6\overline{9}, - 25.5\overline{9}, - 25.3\overline{9}, - 25.2\overline{9}, - 25.1\overline{9}, - 24.8\overline{9}, - 24.7\overline{9}, - 24.6\overline{9}, - 24.5\overline{9}, - 24.0\overline{9}, - 24, - 23.7\overline{9}, - 23.2\overline{9}, - 23.1\overline{9}, - 23.0\overline{9}, - 22.8\overline{9}, - 22.7\overline{9}, - 22.6\overline{9}, - 22.4\overline{9}, - 22.3\overline{9}, - 22.1\overline{9}, - 22.0\overline{9}, - 22, - 21.8\overline{9}, - 21.5\overline{9}, - 21.3\overline{9}, - 20.8\overline{9}, - 20.7\overline{9}, - 20.6\overline{9}, - 19.1\overline{9}, - 19.0\overline{9}, - 18.3\overline{9}, - 18.2\overline{9}, - 18.1\overline{9}, - 18.0\overline{9}, - 18, - 17.8\overline{9}, - 17.7\overline{9}, - 17.6\overline{9}, - 17.5\overline{9}, - \frac{35}{2}, - 17.3\overline{9}, - 17.2\overline{9}, - 17.1\overline{9}, - 17.0\overline{9}, - 17, - 16.8\overline{9}, - 16.7\overline{9}, - 16.6\overline{9}, - 16.5\overline{9}, - \frac{33}{2}, - 16.3\overline{9}, - 16.2\overline{9}, - 16.1\overline{9}, - 16.0\overline{9}, - 16, - 15.8\overline{9}, - 15.7\overline{9}, - 15.6\overline{9}, - 15.5\overline{9}, - \frac{31}{2}, - 15.3\overline{9}, - 15.2\overline{9}, - 15.0\overline{9}, - 15, - 14.8\overline{9}, - 14.7\overline{9}, - 14.6\overline{9}, - 14.5\overline{9}, - 14.3\overline{9}, - 14.2\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}, - 12.7\overline{9}, - 12.6\overline{9}, - 12.5\overline{9}, - \frac{25}{2}, - \frac{62}{5}, - 12.2\overline{9}, - 12.1\overline{9}, - 12.0\overline{9}, - 12, - 11.8\overline{9}, - 11.6\overline{9}, - \frac{58}{5}, - \frac{56}{5}, - 11.0\overline{9}, - \frac{54}{5}, - 10.6\overline{9}, - \frac{53}{5}, - \frac{21}{2}, - 10.2\overline{9}, - 10.0\overline{9}, - 10, - 9.9, - \frac{49}{5}, - \frac{48}{5}, - \frac{47}{5}, - 9.3, - 9, - 8.9, - \frac{44}{5}, - 8.7, - \frac{43}{5}, - \frac{17}{2}, - \frac{42}{5}, - 8.3, - \frac{41}{5}, - 8.1, - 8, - 7.9, - \frac{39}{5}, - 7.7, - \frac{38}{5}, - \frac{15}{2}, - \frac{37}{5}, - \frac{36}{5}, - 7.1, - 7, - 6.9, - \frac{34}{5}, - 6.7, - \frac{33}{5}, - \frac{13}{2}, - \frac{32}{5}, - 6.3, - \frac{31}{5}, - 6.1, - 6, - 5.9, - \frac{29}{5}, - 5.7, - \frac{28}{5}, - \frac{11}{2}, - \frac{27}{5}, - 5.3, - 4, - \frac{19}{5}, - \frac{18}{5}, - \frac{7}{2}, - 3.3, - \frac{16}{5}, - 3, - 2.9, - 2.7, - \frac{5}{2}, - \frac{12}{5}, - \frac{11}{5}, - 2, - 1.9, - \frac{8}{5}, - \frac{3}{2}, - \frac{7}{5}, - 1.3, - 1.1, - 1, - \frac{3}{5}, - \frac{1}{2}, - \frac{2}{5}, - 0.3, 0, 0.1, \frac{1}{5}, 0.3, \frac{2}{5}, \frac{1}{2}, \frac{3}{5}, 1, 1.1, \frac{6}{5}, 1.3, \frac{7}{5}, 1.7, \frac{9}{5}, 2, 2.1, \frac{11}{5}, 2.3, \frac{12}{5}, \frac{5}{2}, 2.7, \frac{14}{5}, 2.9, 3, 3.1, \frac{16}{5}, 3.3, \frac{7}{2}, \frac{18}{5}, 4.7, \frac{24}{5}, 5.3, \frac{27}{5}, 6.3, \frac{32}{5}, \frac{34}{5}, 6.9, 7, \frac{36}{5}, 7.3, \frac{37}{5}, \frac{15}{2}, \frac{38}{5}, 7.7, 7.9, 8, 8.1, \frac{41}{5}, 8.3, \frac{42}{5}, \frac{17}{2}, \frac{43}{5}, \frac{44}{5}, 8.9, 9, 9.1, \frac{46}{5}, 9.3, \frac{19}{2}, \frac{48}{5}, 9.7, 10, 10.1, \frac{51}{5}, 10.7, \frac{54}{5}, \frac{56}{5}, 11.3, \frac{57}{5}, 12.2, 12.3, \frac{25}{2}, 12.6, 12.8, 13, 13.1, 13.2, 13.3, 13.4, 13.7, 13.8, 14.3, 14.4, \frac{29}{2}, 14.6, 14.7, 14.9, 15, 15.1, 15.2, 15.3, \frac{31}{2}, 15.6, 15.7, 15.8, 15.9, 16, 16.1, 16.3, 16.4, 16.8, 16.9, 17.1, 17.2, \frac{35}{2}, 17.7, 17.9, 18, 18.3, 18.4, 18.5, 18.7, 18.8, 19.1, 19.3, 19.5, 19.6, 19.9, 20.1, 20.3, 20.4, 20.7, 20.9, 21.1, 21.2, 21.4, 21.5, 21.7, 21.9, 22, 22.3, 22.5, 22.7, 22.8, 23.1, 23.3, 23.5, 23.6, 23.9, 24.1, 24.2, 24.4, 24.6, 24.7, 25.5, 25.6, 26.1, 26.2, 26.3, 27, 27.1, 27.2, 27.7, 27.8, 27.9, 28, 28.1, 28.2, 28.3, 28.4, 28.5, 28.7, 28.9, 29, 29.1, 29.2, 29.3, 29.4, 29.5, 29.6, 29.7, 29.8, 29.9, 30, 30.2, 30.3, 30.4, 30.5, 30.6, 30.7, 30.8, 30.9, 31, 31.1, 31.2, 31.3, 31.4, 31.5, 31.6, 31.7, 31.9, 32, 32.3, 32.4, 33.3, 33.4, 33.5, 33.6, 33.9, 34, 34.9, 35, 35.1, 35.2, 35.5, 35.6, 36.5, 36.6, 36.7, 36.8, 37.1, 37.2, 38.1, 38.2, 38.3, 38.4, 38.7, 38.8, 39, 39.1, 39.4, 39.5, 39.7, 39.8, 39.9, 40, 40.2, 40.3, 40.4, 40.6, 40.7, 41, 41.1, 41.3, 41.4, 41.5, 41.6, 41.8, 41.9, 42, 42.2, 42.3, 42.6, 42.7, 42.9, 43, 43.1, 43.2, 43.4, 43.5, 43.6, 43.8, 43.9, 44, 44.1, 44.2, 44.3, 44.5, 44.6, 44.7, 44.8, 45, 45.1, 45.2, 45.4, 45.5, 45.8, 45.9, 46.1, 46.2, 46.3, 46.4, 46.6, 46.7, 46.8, 47, 47.1, 47.4, 47.5, 47.7, 47.8, 47.9, 48, 48.2, 48.3, 48.4, 48.6, 48.7, 49, 49.1, 49.3, 49.4, 49.5, 49.6, 49.8, 49.9$

Bước 4