\( -x^{2}-5 x=2 \) Csard form

To convert the quadratic equation \( -x^{2} - 5x = 2 \) into standard form (\( ax^2 + bx + c = 0 \)), start by moving 2 to the left side: \( -x^{2} - 5x - 2 = 0 \). Now, you can also factor out a -1 to make it easier to work with: \( x^{2} + 5x + 2 = 0 \). From here, you can use the quadratic formula or complete the square for further analysis! Fun fact: Quadratics aren't just numbers on a page; they can represent real-world situations, like projectile motion or even how a company’s profit increases over time. The parabolic graph formed by a quadratic equation makes it super easy to visualize the maximum or minimum points, which can be crucial in many practical scenarios. So, the next time you see a quadratic, think about how it can help you solve problems in the real world!