To solve the equation , we can first simplify it. Combine like terms on the left side:

Rearranging gives us:

Multiplying the entire equation by -1 to make the leading coefficient positive:

Now, you can use the quadratic formula where .

The discriminant , which is positive, indicating two real and distinct solutions. Plugging the values into the formula gives us:

This will give you the two solutions for ! Now, won’t that be an adventure in solving quadratics?

Now, if you ever feel overwhelmed by quadratic equations, just remember that they’re like a puzzle! Many students err by forgetting to check their discriminant before diving into solutions. Always ensure your equation is arranged neatly before applying formulas to avoid those pesky mistakes. Happy calculating!