Solve the following equation:

4x² + 15 = 16x

Given, 4x² + 15 = 16x.

⇒ 4x² - 16x + 15 = 0

⇒ 4x² - 10x - 6x + 15 = 0

⇒ 2x(2x - 5) - 3(2x - 5) = 0

⇒ (2x - 5)(2x - 3) = 0

⇒ 2x - 5 = 0 or 2x - 3 = 0

⇒ 2x = 5 or 2x = 3

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

Hence, roots of the given equations are $\dfrac{3}{2}, \dfrac{5}{2}$.