Determine the value of x using the quadratic formula:
$x=\frac{-(0) \pm \sqrt{(0)^{2}-4(2)(8)}}{2(2)}$

Step 1 ：Determine the value of 'x' using the quadratic formula: \(x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}\)

Step 2 ：In this case, the values of 'a', 'b', and 'c' are provided as 'a' = 2, 'b' = 0, and 'c' = 8.

Step 3 ：Substitute these values into the quadratic formula: \(x=\frac{-(0) \pm \sqrt{(0)^{2}-4(2)(8)}}{2(2)}\)

Step 4 ：Simplify the equation: \(x=\frac{0 \pm \sqrt{0-64}}{4}\)

Step 5 ：Further simplify the equation: \(x=\frac{0 \pm \sqrt{-64}}{4}\)

Step 6 ：Since the square root of a negative number is not a real number, there are no real solutions for 'x'.

Step 7 ：\(\boxed{\text{There are no real solutions for 'x'.}}\)