SOLUTION: Solve a³+6a²+11a+6=0

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Question 1128681: Solve a³+6a²+11a+6=0
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Solve:
+a%5E3%2B6a%5E2%2B11a%2B6=0 ............factor

a%5E3+%2B+5a%5E2%2Ba%5E2+%2B+5a%2B6a%2B6+=+0.........group
+%28a%5E3%2Ba%5E2%29+%2B+%285a%5E2+%2B+5a%29%2B%286a%2B6%29+=+0
a%5E2%28a%2B1%29+%2B5a+%28a+%2B+1%29%2B6%28a%2B1%29+=+0
%28a+%2B+1%29++%28a%5E2+%2B+5a%2B6%29+=+0
%28a+%2B+1%29++%28a%5E2+%2B+3a%2B2a%2B6%29+=+0
%28a+%2B+1%29++%28%28a%5E2+%2B+3a%29%2B%282a%2B6%29%29+=+0
%28a+%2B+1%29++%28a%28a+%2B+3%29%2B2%28a%2B3%29%29+=+0
%28a+%2B+1%29+%28a+%2B+2%29+%28a+%2B+3%29+=+0
solutions:
%28a+%2B+1%29+=+0 -> a=-1
%28a+%2B+2%29++=+0-> a=-2
%28a+%2B+3%29+=+0-> a=-3