SOLUTION: what is the value of 'x' in this radical equation of 4{sqrt(3x+6)}-x=14.

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Question 619180: what is the value of 'x' in this radical equation of 4{sqrt(3x+6)}-x=14.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

4sqrt%283x%2B6%29-x=14    ||Isolate the radical

sqrt%283x%2B6%29+=+%28x%2B14%29%2F4  ||Square both sides of the EQ

    3x+6 = (x+14)^2/16

   48x + 96 = x^2 + 28x + 196

        x^2 -20x + 100 = 0

    (x-10)(x-10) = 0

            x = 10