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.

⇒ 4√3x² + 8x – 3x – 2√3 = 0

⇒ 4x(√3x + 2) – √3(√3x + 2) = 0

⇒ (4x - √3)(√3x + 2) = 0

⇒ x = √3/4, - 2/√3