Solve the following equation by factorisation:

(2x - 3)² = 49

⇒ (2x - 3)² = 7²

⇒ (2x - 3)² - 7² = 0

As, (a² - b²) = (a + b)(a - b)

⇒ (2x - 3 + 7)(2x - 3 - 7) = 0

⇒ (2x + 4)(2x - 10) = 0

⇒ 2x + 4 = 0 or 2x - 10 = 0      [Using Zero-product rule]

⇒ 2x = -4 or 2x = 10

⇒ x = -2 or x = 5.

Hence, x = -2 or x = 5.