Algebra-1

Question Analysis
The problem requires solving a quadratic equation by completing the square. The given equation is . The first step is to divide the entire equation by -2 to simplify it to . The next step is to complete the square.

Key Concept Explanation
Completing the square involves transforming the quadratic equation into a perfect square trinomial. This is done by adding and subtracting the square of half the coefficient of the linear term.

Step-by-step Solution
1. Start with the equation:
2. Divide the equation by -2:

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