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(x² + 3x + (x – 1)(x – 2)) = 17(x² – 2x)

⇒ 4(x² + 3x + x² – 3x + 2) = 17(x² – 2x)

⇒ 8x² + 8 = 17x² – 34x

⇒ 9x² – 34x – 8 = 0

⇒ 9x² – 36x + 2x – 8 = 0

⇒ 9x(x – 4) + 2(x – 4) = 0

⇒ (9x + 2)(x – 4) = 0

⇒ x = -2/9, 4