Solve the following equations by factorization method:

Cross Multiplying in the above equation,

(x + 3) × (2x – 3) = (3x – 7) × (x + 2)

2x² – 3x + 6x – 9 = 3x² + 6x – 7x – 14

2x² + 3x – 9 = 3x² – x – 14

3x² – 2x² – x - 3x – 14 + 9 = 0

x² - 4x – 5 = 0

On factorizing the above equation,

x² + x – 5x – 5 = 0

x(x + 1) – 5(x + 1) = 0

(x – 5) (x + 1) = 0

Solving the first part,

x – 5 = 0

x = 5

Solving the second part,

x + 1 = 0

x = -1