Решите уравнение (3 х-8) ^2 - (4x-6) ^2 + (5x-2) (x+2) = 24

Вычислим х.

(3 * х - 8) ² - (4 * x - 6) ² + (5 * x - 2) * (x + 2) = 24;

(3 * x) ² - 2 * (3 * x) * 8 + 8² - ((4 * x) ² - 2 * (4 * x) * 6 + 6²) + (5 * x) ² + 5 * 2 * x - 2 * x - 2 * 2 = 24;

9 * x² - 6 * 8 * x + 64 - (16 * x² - 8 * x * 6 + 36) + 25 * x² + 10 * x - 2 * x - 4 = 24;

9 * x² - 48 * x + 64 - (16 * x² - 48 * x + 36) + 25 * x² + 8 * x - 4 = 24;

9 * x² - 48 * x + 64 - 16 * x² + 48 * x - 36 + 25 * x² + 8 * x - 4 = 24;

9 * x² + 64 - 16 * x² - 36 + 25 * x² + 8 * x - 4 = 24;

x² * (9 - 16 + 25) + 8 * x + (64 - 36 - 4) = 24;

8 * x + 60 - 36 = 24;

8 * x = 24 + 36 - 60;

8 * x = 0;

x = 0.