SOLUTION: I need help solving a radical equation. I am not sure what to do. {{{ sqrt 4 - 6x = 2x }}} Thank you,

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Question 159288This question is from textbook College Algebra
: I need help solving a radical equation. I am not sure what to do.
+sqrt+4+-+6x+=+2x+
Thank you, This question is from textbook College Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
sqrt%284-6x%29+=+2x Square both sides of the equation.
4-6x+=+4x%5E2 Add 6x to both sides.
4+=+4x%5E2%2B6x Subtract 4 from both sides.
4x%5E2%2B6x-4+=+0 Factor 2 from the trinomial.
2%282x%5E2%2B3x-2%29+=+0 so then...
2x%5E2%2B3x-2+=+0 Factor this trinomial.
%282x-1%29%28x%2B2%29+=+0 Apply the zero product rule:
2x-1+=+0 or x%2B2+=+0, then...
2x+=+1 and x+=+1%2F2 or
x+=+-2
The solutions:
x+=+1%2F2%29, x+=+-2