Solve the following equation:

x² - 2x = 48

Given, x² - 2x = 48

⇒ x² - 2x - 48 = 0

⇒ x² - 8x + 6x - 48 = 0

⇒ x(x - 8) + 6(x - 8) = 0

⇒ (x + 6)(x - 8) = 0

⇒ x + 6 = 0 or x - 8 = 0

⇒ x = -6 or x = 8.

Hence, roots of the given equations are -6, 8.