Solve by factorization method : 6x2 – 5x – 25 = 0

6x2 – 5x – 25 = 0

Solution:

6x2 – 15x + 10x  - 25 = 0

3x(2x – 5) + 5 (2x – 5)= 0

(2x – 5) (3x + 5) = 0

∴ 2x – 5 = 0    OR   3x + 5 = 0

∴ 2x = 5      or       3x = - 5

∴ x = 5 / 2    or     x = - 5 / 3