Question 96673
Your answer is almost correct. You were given:
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{{{x^2 +4x + 4 = 7}}}
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If you factor the left side you find that it is a perfect square and you get:
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{{{(x+2)^2 = 7}}}
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Now take the square root of both sides and you get:
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{{{x + 2 = sqrt(7)}}}
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In which the square root is preceded by a +- sign. Subtract 2 from both sides to get:
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{{{x = -2 +-sqrt(7)}}}
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You just missed the minus sign that precedes the 2. 
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Hope this helps you to understand the problem and the process for getting an answer.