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2x^2 + 4x - 3

I attempted to solved doing the following

2x^2 + 4x = 3

x^2 + 2x = 3/2 (divided by two)

(x+1)^2 = 5/2 (completed the square & added one to both sides)

(x+1)^2 - 5/2 = 0

So I put the range was (-5/2, infinity), but the book has it (-5, infinity). It seems any problem where the leading coefficient is greater than one, I'm getting incorrect answers. So there must be an error in how I'm trying to solve the problem.