Solve the following equation by factorization:

8x² + 15 = 26x

Given,

⇒ 8x² + 15 = 26x

⇒ 8x² - 26x + 15 = 0

⇒ 8x² - 20x - 6x + 15 = 0

⇒ 4x(2x - 5) - 3(2x - 5) = 0

⇒ (2x - 5)(4x - 3) = 0

⇒ (2x - 5) = 0 or (4x - 3) = 0      [Using Zero-product rule]

⇒ 2x = 5 or 4x = 3

⇒ x = $\dfrac{5}{2}$ or x = $\dfrac{3}{4}$

Hence, x = $\Big{\dfrac{5}{2}, \dfrac{3}{4}\Big}$.