2x ​2 -9x-5=0

2x^2 -9x - 5  = 0   factor the trinomial

(2x + 1) (x - 5)  = 0

Set each factor to 0 and solve for x

2x + 1  = 0                                 or              x - 5 = 0

subtract 1 from both sides                        add 5 to both sides

2x  =  - 1                                                       x =  5

divide both sides by 2

x =  -1/2      

And those are the two solutions