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.

⇒ b²x(a²x + 1) – (a²x + 1) = 0

⇒ (b²x – 1)(a²x + 1) = 0

⇒ x = -1/a², 1/b²