document.write( "Question 111375: y^2-5y=0 \n" ); document.write( "
Algebra.Com's Answer #81196 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"y%5E2-5y=0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y%28y-5%29=0\" Factor the left side (note: if you need help with factoring, check out this solver)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now set each factor equal to zero:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=0\" or \"y-5=0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=0\" or \"y=5\" Now solve for x in each case\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So our solutions are \"y=0\" or \"y=5\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Notice if we graph \"y=y%5E2-5y\" we get\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C+x%5E2-5x%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "and we can see that the graph has roots at \"x=0\" and \"x=5\", so this verifies our answer.
\n" ); document.write( "
\n" ); document.write( "
\n" );