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.

⇒ 6x² + 9x + 2x + 3 = 0

⇒ 3x(2x + 3) + (2x + 3) = 0

⇒ (3x + 1)(2x + 3) = 0

⇒ x = -1/3, - 3/2