help...I have been at the following for 3 hours and am so lost

I have the equation y=2x^2-7x-4 and I am trying to find the x and y intercept ( for a parabolla)

I have found the y intercept which is-4 but I`m lost on finding the x intercept, would I use the quadratic formula , if so am I correct that this way will give me both intercepts (x and y)

I have tried factoring the above to get x intercept but have got so confused.

not sure now which way to go

Dave