To solve the equation x^3 + y = z^2 for x, the rearranged form is x = ∛(z^2 - y). To convert this equation into LaTeX format using the QUICK LATEX box, users can wrap the equation in dollar signs for inline display, such as $x^3 + y = z^2$. Alternatively, selecting the equation text and clicking the $\sum$ button on the editor toolbar will automatically format it. For those seeking to learn more about LaTeX, various symbols and commands for radicals, fractions, and geometric symbols can be found in the "Quick LaTeX" element, and experimentation with the "$\LaTeX$ Live Preview" is encouraged to understand their usage.