This equation has no intersections with the X-axis.
2x^2+16x+50=0 divide by 2
x^2+8x+25=0 subtract 9 from both sides
x^2+8x+16=-9 complete the square
(x+4)^2=-9 square root both sides
x+4 = 3i you get an imaginary number, thus there are no real numbers that will fulfill the above equation. Graphing calculator will show you the same result.