Finding Minimum of a Quadratic Function

Consider a function $f(x)$ defined by the equation:

$$f(x) = 2x^2 - 3x + 1$$

Determine the value of $x$ for which the function $f(x)$ reaches its minimum value. Then, find the minimum value of $f(x)$. Enter your answers as a single number in the grid, formatted such that the decimal places are relevant to the minimum value.