1. The problem is to rewrite the quadratic formula expression for $x$ in a proper, clear mathematical format without solving it. 2. The given expression is: $$x=\frac{4(L+W)\pm \sqrt{[4(L+W)]^{2}-4(12)(LW)}}{2(12)}$$ 3. This is a quadratic formula of the form: $$x=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}$$ where $a=12$, $b=-4(L+W)$ (note the sign), and $c=LW$. 4. To write it properly, ensure the numerator and denominator are clear, and the signs are correct: $$x=\frac{4(L+W) \pm \sqrt{\left[4(L+W)\right]^2 - 4 \times 12 \times LW}}{2 \times 12}$$ 5. Simplify the denominator: $$x=\frac{4(L+W) \pm \sqrt{16(L+W)^2 - 48LW}}{24}$$ 6. This is the proper formatted expression without solving for $x$.