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 – 4x + x – 2√2 = 0

⇒ √2x(x – 2√2) + (x – 2√2) = 0

⇒ (√2x + 1)(x – 2√2) = 0

⇒ x = -1/√2, 2√2