Question

Solve the following quadratic equations by factorization:

25x(x + 1) = – 4

Answer 1

We have been given

25x(x + 1) = -4

25x² + 25x + 4 = 0

25x² + 20x + 5x + 4 = 0

5x(5x + 4) + 1(5x + 4) = 0

(5x + 1)(5x + 4) = 0

Therefore,

5x + 1 = 0

5x = -1

x = `-1/5`

or,

5x + 4 = 0

5x = -4

x = `-4/5`

Hence, x = `-1/5` or x = `-4/5`.