document.write( "Question 181328This question is from textbook Algebra 2
\n" ); document.write( ": What is the equation by factoring 3x^2 = 75x \n" ); document.write( "

Algebra.Com's Answer #135957 by vleith(2983) $\"\"$ $\"About$

You can put this solution on YOUR website!
Given $\"3x%5E2+=+75x\"$
\n" ); document.write( "Most folks would say
\n" ); document.write( "Divide both sides by 3
\n" ); document.write( " $\"x%5E2+=+25x\"$
\n" ); document.write( "Divide both sides by x
\n" ); document.write( " $\"x+=+25\"$ \r
\n" ); document.write( "\n" ); document.write( "What you should do is this
\n" ); document.write( " $\"3x%5E2+=+75x\"$
\n" ); document.write( " $\"3x%5E2+-+75x+=+0\"$
\n" ); document.write( " $\"3x%28x+-+25%29+=+0\"$
\n" ); document.write( "So either 3x = 0 OR x-25 = 0
\n" ); document.write( "Thus x =0 and x=25 both work\r
\n" ); document.write( "\n" ); document.write( "Why doesn't the first thing we did give the same answer? Think about what happens when you 'divide both sides by x'. What does that imply? What happens if x=0. \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );