To address the given mathematical expression and simplify it step by step, we look at the terms involved:
1. [tex]\( x^2 \)[/tex]: This is a term with [tex]\( x \)[/tex] squared.
2. [tex]\( \frac{1}{2} x \)[/tex]: This term represents half of [tex]\( x \)[/tex].
The expression currently reads as:
[tex]\[ x^2 + \frac{1}{2} x \][/tex]
Since there is no additional information or context provided, and the expression does not appear to be an equation or function (since there is no equal sign or further terms), we are left with an incomplete expression. Without additional terms or instructions to form an equation or complete function, we cannot proceed with further simplification or solving for [tex]\( x \)[/tex].
Therefore, the expression remains:
[tex]\[ x^2 + \frac{1}{2} x \][/tex]