When they intesect, they are EQUAL.....so, let's set them equal to each other and solve for the 'x' coordinate:
-2x^2 + 4x = 2x-5
-2x^2 +2x+5 = 0
2x^2 - 2x -5 = 0
Yields x = 2.15 and -1.16
Substitute ino the easiest equation to find the 'y' values
y= 2x-5
y= - 0.7 and -7.32
so x,y = 2.15, -0.7 and -1.16,-7.32