In factorization, we write the middle term of the quadratic equation either as a sum of two numbers or difference of two numbers such that the equation can be factorized.

⇒ 2x² + 2ax – ax – a² = 0

⇒ 2x(x + a) – a(x + a) = 0

⇒ (2x – a)(x + a) = 0

⇒ x = a/2, -a