Solve the following equation by factorization:

15x² - 28 = x

Given,

⇒ 15x² - 28 = x

⇒ 15x² - x - 28 = 0

⇒ 15x² - 21x + 20x - 28 = 0

⇒ 3x(5x - 7) + 4(5x - 7) = 0

⇒ (5x - 7)(3x + 4) = 0

⇒ (5x - 7) = 0 or (3x + 4) = 0      [Using Zero-product rule]

⇒ 5x = 7 or 3x = - 4

⇒ x = $\dfrac{7}{5}$ or x = $\dfrac{-4}{3}$

Hence, x = $\Big{\dfrac{-4}{3}, \dfrac{7}{5}\Big}$.