SOLUTION: (2a+1)(a+3)+3=0

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Question 724081: (2a+1)(a+3)+3=0
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%282a%2B1%29%28a%2B3%29%2B3=0
First we simplify. Using FOIL to multiply:
%282a%2Aa+%2B+2a%2A3+%2B+1%2Aa+%2B+1%2A3%29+%2B+3+=+0
Simplifying...
%282a%5E2+%2B+6a+%2B+a+%2B+3%29+%2B+3+=+0
2a%5E2+%2B+7a+%2B+6+=+0
Now we factor:
(2a + 3)(a + 2) = 0
From the Zero Product Property:
2a + 3 = 0 or a + 2 = 0
Solving we get:
x = -3/2 or a = -2