document.write( "Question 86699: This is from a worksheet. I do not understand how to do this at all. I have notes from my instructor but they are not very clear to me about this type of problem. The directions are as follows: \"Find all the real number solutions for each equation.\" Here is my first equation. \r
\n" ); document.write( "\n" ); document.write( "x^5-x=0
\n" ); document.write( "

Algebra.Com's Answer #62729 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
Factor, factor, factor...\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x^5-x=0 factors into x(x^4-1)=0 ... so x=0 is one solution\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x^4-1=0 factors into (difference of 2 squares) (x^2+1)(x^2-1)=0\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x^2-1=0 factors into (x+1)(x-1)=0 ... so x=-1 and x=1 are solutions\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x^2+1=0 ... x^2=-1 ... no real solutions
\n" ); document.write( "
\n" );