document.write( "Question 607153: x^2+6x-16=0 \n" ); document.write( "
Algebra.Com's Answer #382460 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"x%5E2%2B6x-16=0\".......we can write \"6x\" as \"8x-2x\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B8x-2x-16=0\"...now we can group first two and second two terms together\r
\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2B8x%29%2B%28-2x-16%29=0\".......now, we want that minus sign to be in front of parentheses\r
\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2B8x%29-%282x%2B16%29=0\".....now, we are looking for common factors in both of the groups: in first group it is \"x\", and in second group it is \"2\"....\r
\n" ); document.write( "\n" ); document.write( "\"x%28x%2B8%29-2%28x%2B8%29=0\"....now, we have common factor \"x%2B8\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B8%29%28x-2%29=0\"...these are simple factors of your equation, and solutions will be:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2B8=0\"....->...\"x=-8\"\r
\n" ); document.write( "\n" ); document.write( "\"x-2=0\"....->...\"x=2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );