document.write( "Question 262567: Can someone explain the steps to me for solving this equation?\r
\n" ); document.write( "\n" ); document.write( "x- sqrt 15-2x = 0\r
\n" ); document.write( "\n" ); document.write( "the solution set is?? \n" ); document.write( "
Algebra.Com's Answer #193640 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Can someone explain the steps to me for solving this equation?
\n" ); document.write( "x- sqrt 15-2x = 0
\n" ); document.write( "Assume the problem is
\n" ); document.write( "\"x+-+sqrt%2815-2x%29+=+0\"
\n" ); document.write( ":
\n" ); document.write( "Add \"sqrt%2815-2x%29\" to both sides
\n" ); document.write( ":
\n" ); document.write( "\"x+=+sqrt%2815-2x%29\"
\n" ); document.write( ":
\n" ); document.write( "Squaring both sides gets rid of the radical
\n" ); document.write( "x^2 = 15 - 2x
\n" ); document.write( ":
\n" ); document.write( "Arrange as a quadratic equation
\n" ); document.write( "x^2 + 2x - 15 = 0
\n" ); document.write( ":
\n" ); document.write( "Factors to
\n" ); document.write( "(x+5)(x-3) = 0
\n" ); document.write( ":
\n" ); document.write( "Two solutions
\n" ); document.write( "x = -5
\n" ); document.write( "and
\n" ); document.write( "x = +3,
\n" ); document.write( ":
\n" ); document.write( "Check solutions in original equation
\n" ); document.write( "x = 3
\n" ); document.write( "\"3+-+sqrt%2815-2%283%29%29+=+0\"
\n" ); document.write( "\"3+-+sqrt%2815-6%29+=+0\"
\n" ); document.write( "\"3+-+sqrt%289%29+=+0\"
\n" ); document.write( "3 - 3 = 0; a good solution
\n" ); document.write( ":
\n" ); document.write( "however when x = -5
\n" ); document.write( "\"-5+-+sqrt%2815-2%28-5%29%29+=+0\"
\n" ); document.write( "\"-5+-+sqrt%2815%2B10%29+=+0\"
\n" ); document.write( "\"-5+-+sqrt%2825%29+=+0\"
\n" ); document.write( "-5 - 5 does not = 0, not a solution
\n" ); document.write( " \n" ); document.write( "
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