Sure! Here’s the content simplified and made easier to read:

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Yes, you can use completing the square to get the quadratic formula! Let’s break it down step by step.

1. Starting Equation: We begin with a standard quadratic equation: $ax^2 + bx + c = 0$

2. Isolate the Quadratic Term: First, we divide everything by $a$ (as long as $a$ is not zero): $x^2 + \frac{b}{a}x + \frac{c}{a} = 0$

3. Rearranging Terms: Next, we move the constant term to the other side: $x^2 + \frac{b}{a}x = -\frac{c}{a}$

4. Completing the Square: Now, we take half of the number in front of $x$, square it, and add that to both sides: $\left(\frac{b}{2a}\right)^2$

5. Rewrite the Left Side: This helps us rewrite the left side: $\left(x + \frac{b}{2a}\right)^2 = \frac{b^2 - 4ac}{4a^2}$

6. Solve for $x$: Finally, we can find $x$ by taking the square root and solving: $x = -\frac{b}{2a} \pm \frac{\sqrt{b^2 - 4ac}}{2a}$

And there you have it! We end up with the quadratic formula: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

This shows that completing the square is a great way to find the quadratic formula!