Answer:
2(x +1/2)^2 = -1/2
Step-by-step explanation:
The steps generally will be ...
1. subtract the constant
2x^2 +2x = -1
2. factor out the leading coefficient on the left
2(x^2 +x) = -1
3. add the square of half the x-coefficient inside parentheses, and an equal quantity on the other side of the equal sign
2(x^2 +x +1/4) = -1 +2(1/4)
4. simplify and write in the required form
2(x +1/2)^2 = -1/2
