SOLUTION: hello. how do I solve this problem? sqrt(3x+1) +2 = sqrt(5x+9)

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Question 857445: hello. how do I solve this problem?
sqrt(3x+1) +2 = sqrt(5x+9)
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%283x%2B1%29+%2B2%29%5E2+=+sqrt%285x%2B9%29%5E2

3x%2B1%2B4%2Asqrt%283x%2B1%29%2B4=5x%2B9
After collecting like terms we get
4%2Asqrt%283x%2B1%29=2x%2B4
or

2%2Asqrt%283x%2B1%29=x%2B2%29
squaring again leads to

4%283x%2B1%29=x%5E2%2B4x%2B4
leading to
x%5E2-8x=0
solutions: {0, 8}