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.

⇒ 30(x – 7 – x – 4) = 11(x + 4)(x – 7)

⇒ -330 = 11x² – 308 – 33x

⇒ 11x² – 33x + 22 = 0

⇒ x² – 3x + 2 = 0

⇒ x² – 2x – x + 2 = 0

⇒ x(x – 2) – (x – 2) = 0

⇒ (x – 1)(x – 2) = 0

⇒ x = 1, 2