SOLUTION: hello. I need help solving this problem please. suare root of 3x+1 +2 = square root of 5x+9

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Question 857779: hello. I need help solving this problem please.
suare root of 3x+1 +2 = square root of 5x+9
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%283x%2B1%29%2B2=sqrt%285x%2B9%29
Square both sides.
%28sqrt%283x%2B1%29%2B2%29%28sqrt%283x%2B1%29%2B2%29=5x%2B9
%283x%2B1%29%2B4sqrt%283x%2B1%29%2B4=5x%2B9
4sqrt%283x%2B1%29=5x%2B9-3x-1-4
4sqrt%283x%2B1%29=2x%2B4
2sqrt%283x%2B1%29=x%2B2
Square both sides again.
4%283x%2B1%29=x%5E2%2B4x%2B4
12x%2B4=x%5E2%2B4x%2B4
x%5E2-8x=0
x%28x-8%29=0
Two possible solutions:
highlight%28x=0%29
and
x-8=0
highlight%28x=8%29
Make sure you go back and verify that these are actual solutions, a critical step for these type of problems.