Solve the following quadratic equations by factorization:

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.

⇒ 7(x² – 6x + 9 – (x² + 9 + 6x)) = 48(x² – 9)

⇒ -84x = 48x² – 432

⇒ 4x² + 7x – 36 = 0

⇒ 4x² + 16x – 9x – 36 = 0

⇒ 4x(x + 4) -9(x + 4) = 0

⇒ (4x – 9)(x + 4) = 0

⇒ x = 9/4, -4