You can put this solution on YOUR website!
The x-intercepts are the values of x where y = 0 so we need to solve the following for x:
4x^2 + 8x - 5 = 0
(2x + 5)*(2x - 1) = 0
So the solutions are where 2x + 5 = 0 and 2x - 1 = 0.
Solve these two equations for x.