document.write( "Question 159288This question is from textbook College Algebra
\n" ); document.write( ": I need help solving a radical equation. I am not sure what to do.\r
\n" ); document.write( "\n" ); document.write( " $\"+sqrt+4+-+6x+=+2x+\"$ \r
\n" ); document.write( "\n" ); document.write( "Thank you, \n" ); document.write( "

Algebra.Com's Answer #117437 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x:
\n" ); document.write( " $\"sqrt%284-6x%29+=+2x\"$ Square both sides of the equation.
\n" ); document.write( " $\"4-6x+=+4x%5E2\"$ Add 6x to both sides.
\n" ); document.write( " $\"4+=+4x%5E2%2B6x\"$ Subtract 4 from both sides.
\n" ); document.write( " $\"4x%5E2%2B6x-4+=+0\"$ Factor 2 from the trinomial.
\n" ); document.write( " $\"2%282x%5E2%2B3x-2%29+=+0\"$ so then...
\n" ); document.write( " $\"2x%5E2%2B3x-2+=+0\"$ Factor this trinomial.
\n" ); document.write( " $\"%282x-1%29%28x%2B2%29+=+0\"$ Apply the zero product rule:
\n" ); document.write( " $\"2x-1+=+0\"$ or $\"x%2B2+=+0\"$ , then...
\n" ); document.write( " $\"2x+=+1\"$ and $\"x+=+1%2F2\"$ or
\n" ); document.write( " $\"x+=+-2\"$
\n" ); document.write( "The solutions:
\n" ); document.write( " $\"x+=+1%2F2%29\"$ , $\"x+=+-2\"$ \n" ); document.write( "

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