Finding Discriminant for Quadratic Equations

Consider the quadratic equation $$2x^2 - 8x + k = 0$$ where $$k$$ is a real number. The equation has exactly one real solution when the discriminant is zero. Determine the value of $$k$$ that satisfies this condition.

Recall that the discriminant $$D$$ of a quadratic equation $$ax^2 + bx + c = 0$$ is given by $$D = b^2 - 4ac$$. A quadratic equation has exactly one real solution when $$D = 0$$.