5x^2 +8x - 69=0
x=?
5 is a prime number, thus its factors are 5 and 1. Factors of 69 are 23 and 3.It helps to factor the expressions in the following way:
5x2 +8x - 69 = (5x +23)(x-3).
If you make it equal zero then you will obtain: 5x +23 = 0 and x-3 = 0.
Thus your solutions are x = -23/5 and x = 3.