Solve the following equation by factorization method:

Cross multiplying,

7× 6 = 6 × (x² – 4x - 5)

42 = 6x² – 24x – 30

6x² – 24x – -30 - 42= 0

6x² – 24x – 72= 0

6(x² – 4x – 12) = 0

x² – 4x – 12 = 0

On factorizing,

x² – 6x + 2x – 12 = 0

x(x – 6) + 2(x – 6) = 0

(x + 2) (x – 6) = 0

Solving first part,

x + 2 = 0

x = -2

Solving second part,

x – 6 = 0

x = 6