document.write( "Question 370163: the sum of a number and 8 times its reciprocal is -9 \n" ); document.write( "

Algebra.Com's Answer #263804 by lefty4ever26(59) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%2B8%281%2Fx%29=-9\"$ Equation.
\n" ); document.write( " $\"x%2B8%2Fx=-9\"$ Multiply both sides by x to cancel the fraction.
\n" ); document.write( " $\"x%5E2%2B8=-9x\"$ Add 9x to both sides.
\n" ); document.write( " $\"x%5E2%2B9x%2B8=0\"$ Factor.
\n" ); document.write( " $\"%28x%2B1%29%28x%2B8%29=0\"$ Set factors equal to 0 and solve for x.
\n" ); document.write( " $\"x%2B1=0\"$ $\"x%2B8=0\"$
\n" ); document.write( " $\"x=-1\"$ $\"x=-8\"$
\n" ); document.write( "Your number can be either -1 or -8 \n" ); document.write( "

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