document.write( "Question 1153074: Hey if any one knows how this is done school doesn’t provide the proper explanation \"x=2sqrt%282x%2B5%29\" \n" ); document.write( "
Algebra.Com's Answer #775230 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\"x=2sqrt%282x%2B5%29\"........first square both sides to get rid of sqrt\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2=2%5E2%2A%282x%2B5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2=4%282x%2B5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2=8x%2B20\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-8x-20=0\".....factor completely: write \"-8x\" as \"-2x%2B10x\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-2x%2B10x-20=0\".......group\r
\n" ); document.write( "\n" ); document.write( "\"%28x%5E2-2x%29%2B%2810x-20%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"x%28x-2%29%2B10%28x-2%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x+-+10%29%28x+%2B+2%29+=+0\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if \"%28x+-+10%29+=+0\"=>\"x=10\"\r
\n" ); document.write( "\n" ); document.write( "if \"%28x+%2B+2%29+=+0\"=>\"x=-2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "since you need solution that will make \"x=2sqrt%282x%2B5%29\" true, check the solutions by plugging them into \"x=2sqrt%282x%2B5%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=2sqrt%282x%2B5%29\"=>\"x=10\"\r
\n" ); document.write( "\n" ); document.write( "\"10=2sqrt%282%2A10%2B5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"10=2sqrt%2825%29\"\r
\n" ); document.write( "\n" ); document.write( "\"10=2%2A5\"\r
\n" ); document.write( "\n" ); document.write( "\"10=10\"=>\"true\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=2sqrt%282x%2B5%29\"=>\"x=-2\"\r
\n" ); document.write( "\n" ); document.write( "\"-2=2sqrt%282%2A%28-2%29%2B5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"-2=2sqrt%28-4%2B5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"-2=2sqrt%281%29\"\r
\n" ); document.write( "\n" ); document.write( "\"-2=2%2A1\"\r
\n" ); document.write( "\n" ); document.write( "\"-2=2\"=>\"false\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "=> solution to \"x=2sqrt%282x%2B5%29\" is \"x=10\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );