document.write( "Question 393869: X^(2)+10x+c=0
\n" ); document.write( "how do you factor this? \n" ); document.write( "

Algebra.Com's Answer #279470 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%5E2+%2B+10x+%2B+c+=+0\"$
\n" ); document.write( "Subtract $\"c\"$ from both sides
\n" ); document.write( " $\"x%5E2+%2B+10x+=+-c\"$
\n" ); document.write( "Take 1/2 of the coefficient of $\"x\"$ ,
\n" ); document.write( "square it, and add it to both sides
\n" ); document.write( " $\"x%5E2+%2B+10x+%2B+%2810%2F2%29%5E2+=+-c+%2B+%2810%2F2%29%5E2\"$
\n" ); document.write( " $\"x%5E2+%2B+10x+%2B+25+=+-c+%2B+25\"$
\n" ); document.write( "The left side is now a perfect square, so rewrite it
\n" ); document.write( " $\"%28x+%2B+5%29%5E2+=+25+-+c\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"x+%2B+5+=+0++%2B-sqrt%2825+-+c%29\"$
\n" ); document.write( "Get all terms on the left side, leaving zero on the right
\n" ); document.write( " $\"x+%2B+5+%2B+sqrt%2825+-+c%29\"$
\n" ); document.write( " $\"x+%2B+5+-+sqrt%2825+-+c%29\"$
\n" ); document.write( "If you multiply these 2 expressions together,
\n" ); document.write( "you should get the above equation
\n" ); document.write( "You could also have used the quadratic formula
\n" ); document.write( "The answers should agree. \n" ); document.write( "

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