5. Решить уравнение (x - 1)(x + 2) – x(x + 2) = 2x - 1 [x(x + 2) – (x + 3)(x + 1) = 2x + 3].

5. Решить уравнение

1. $$(x - 1)(x + 2) – x(x + 2) = 2x - 1$$ $$x^2 + 2x - x - 2 - x^2 - 2x = 2x - 1$$ $$-x - 2 = 2x - 1$$ $$3x = -1$$ $$x = -1/3$$
2. $$x(x + 2) – (x + 3)(x + 1) = 2x + 3$$ $$x^2 + 2x – (x^2 + x + 3x + 3) = 2x + 3$$ $$x^2 + 2x – (x^2 + 4x + 3) = 2x + 3$$ $$x^2 + 2x – x^2 - 4x - 3 = 2x + 3$$ $$-2x - 3 = 2x + 3$$ $$4x = -6$$ $$x = -3/2$$

Ответ: 1) x = -1/3; 2) x = -3/2