SOLUTION: Can you please help me to solve this problem for X: 2x (under radical) - 3x+1 (under radical) = 1 Thanks in advance, Fawn Gallagher

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Question 76668: Can you please help me to solve this problem for X:
2x (under radical) - 3x+1 (under radical) = 1
Thanks in advance,
Fawn Gallagher
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
sqrt%282x%29+-+sqrt%283x%2B1%29+=+1 First, addsqrt%283x%2B1%29 to both sides of the equation.
sqrt%282x%29+=+sqrt%283x%2B1%29+%2B+1 Now square both sides.
2x+=+%283x%2B1%29+%2B+2sqrt%283x%2B1%29+%2B+1 Then, simplify this so that the radical is on one side by itself by subtracting 3x from both sides.
-x+=+2sqrt%283x%2B1%29+%2B+2 Subtract 2 from both sides.
-x-2+=+2sqrt%283x%2B1%29 Now square both sides. %28-x-2%29%5E2+=+x%5E2%2B4x%2B4
x%5E2%2B4x%2B4+=+4%283x%2B1%29 Simplify.
x%5E2%2B4x%2B4+=+12x%2B4 Subtract 12x from both sides.
x%5E2-8x%2B4+=+4 Subtract 4 from both sides.
x%5E2-8x+=+0 Factor an x.
x%28x-8%29+=+0 Apply the zero product principle. (If A*B = 0, then either A = 0, or B = 0, or both)
x+=+0 and/or x-8+=+0
So, x+=+0 or x+=+8