document.write( "Question 981317: the product of a negative integer and 5 less than twice the integer equals the integer plus 56. find the integer. \n" ); document.write( "

Algebra.Com's Answer #602315 by macston(5194) $\"\"$ $\"About$

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\n" ); document.write( "x=negative integer
\n" ); document.write( ".
\n" ); document.write( " $\"%28x%29%282x-5%29=x%2B56\"$
\n" ); document.write( " $\"2x%5E2-5x=x%2B56\"$ Subtract (x+56) from each side.
\n" ); document.write( " $\"2x%5E2-6x-56=0\"$ Divide each side by 2.
\n" ); document.write( " $\"x%5E2-3x-28\"$
\n" ); document.write( " $\"%28x-7%29%28x%2B4%29=0\"$
\n" ); document.write( " $\"x-7=0\"$ $\"OR\"$ $\"x%2B4=0\"$
\n" ); document.write( " $\"x=7\"$ $\"OR\"$ $\"x=-4\"$
\n" ); document.write( "Since we are looking for a negative integer,
\n" ); document.write( "ANSWER: The negative integer is -4.
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\n" ); document.write( "CHECK:
\n" ); document.write( "(x)(2x-5)=x+56
\n" ); document.write( "(-4)(2(-4)-5)=-4+56
\n" ); document.write( "(-4)(-8-5)=52
\n" ); document.write( "(-4)(-13)=52
\n" ); document.write( "52=52\r
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