document.write( "Question 64586This question is from textbook college algebra
\n" ); document.write( ": Hi,
\n" ); document.write( "How do I solve by factoring:
\n" ); document.write( "x^2 - 2x - 15 =0
\n" ); document.write( "txs.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #45186 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve by factoring:
\n" ); document.write( " $\"x%5E2-2x-15+=+0\"$
\n" ); document.write( "To factor this, the factors will have the form:
\n" ); document.write( "(x+m)(x+n) where: m+n = -2 and m*n = -15
\n" ); document.write( "Try: m = 3 and n = -5
\n" ); document.write( "m+n = 3+(-5) = -2
\n" ); document.write( "m*n = 3(-5) = -15
\n" ); document.write( "These will work, so:
\n" ); document.write( " $\"x%5E2-2x-15+=+%28x%2B3%29%28x-5%29\"$
\n" ); document.write( " $\"%28x%2B3%29%28x-5%29+=+0\"$ Apply the zero product principle.
\n" ); document.write( " $\"x%2B3+=+0\"$ and/or $\"x-5+=+0\"$
\n" ); document.write( "If $\"x%2B3+=+0\"$ then $\"x+=+-3\"$
\n" ); document.write( "If $\"x-5+=+0\"$ then $\"x+=+5\"$
\n" ); document.write( "The solutions: x = -3 or x = 5 \n" ); document.write( "

\n" );