document.write( "Question 184226: Solve each equation and show steps!\r
\n" ); document.write( "\n" ); document.write( "x^3+x^2=0
\n" ); document.write( "

Algebra.Com's Answer #138256 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"x%5E3%2Bx%5E2=0\" Start with the given equation\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2%28x%2B1%29=0\" Factor out the GCF \"x%5E2\"\r
\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( "\"x%5E2=0\" or \"x%2B1=0\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=0\" or \"x=-1\" Now solve for x in each case\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So our answers are \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \"x=0\" or \"x=-1\" \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Notice if we graph \"y=x%5E3%2Bx%5E2\" we can see that the roots are \"x=0\" and \"x=-1\" . So this visually verifies our answer.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+graph%28500%2C500%2C-5%2C5%2C-5%2C5%2C0%2C+x%5E3%2Bx%5E2%29+\"
\n" ); document.write( "
\n" ); document.write( "
\n" );