c) (5x + 1)² - (5x - 3)(5x + 3) = 30
⇔ (25x² + 10x + 1) - (25x² - 9) = 30
⇔ 25x² + 10x + 1 - 25x² + 9 = 30
⇔ 10x + 10 = 30
⇔ 10x = 20
⇔ x = 2
Vậy x = 2
d) (x - 1)(x² + x + 1) + x(x + 2)(2 - x) = 5
⇔ (x³ - 1) - x.(x + 2)(x - 2) = 5
⇔ x³ - 1 - x.(x² - 4) = 5
⇔ x³ - 1 - x³ + 4x = 5
⇔ 4x - 1 = 5
⇔ 4x = 6
⇔ x = $\frac{3}{2}$
Vậy x = $\frac{3}{2}$