document.write( "Question 246150: Solve.\r
\n" ); document.write( "\n" ); document.write( "(y+5)(y-1)=27 \n" ); document.write( "

Algebra.Com's Answer #179798 by oberobic(2304) $\"\"$ $\"About$

You can put this solution on YOUR website!
Given the setup:
\n" ); document.write( " $\"%28y%2B5%29%28y-1%29+=+27\"$
\n" ); document.write( ".
\n" ); document.write( "We can multiply through:
\n" ); document.write( " $\"y%5E2+-y+%2B5y+-+5+=+27\"$
\n" ); document.write( ".
\n" ); document.write( "Collecting terms
\n" ); document.write( " $\"y%5E2+%2B+4y+-+5+=+27\"$
\n" ); document.write( ".
\n" ); document.write( "Subtracting 27 from both sides
\n" ); document.write( " $\"y%5E2+%2B+4y+-+32+=+0\"$
\n" ); document.write( ".
\n" ); document.write( "Can we factor 32 into two terms that are 4 apart? 4 * 8 = 32, so we have:
\n" ); document.write( " $\"%28y%2B8%29%28y-4%29=0\"$
\n" ); document.write( ".
\n" ); document.write( "So we have to solutions: y = -8 and y = 4.
\n" ); document.write( ".
\n" ); document.write( "Checking $\"y=-8\"$ , we have:
\n" ); document.write( " $\"%28y%2B5%29+=+-8%2B5+=+-3\"$
\n" ); document.write( " $\"%28y-1%29+=+-8-1+=+-9\"$
\n" ); document.write( " $\"%28y%2B5%29%28y-1%29+=+%28-3%29%28-9%29+=+27\"$
\n" ); document.write( "Check.
\n" ); document.write( ".
\n" ); document.write( "Checking for $\"y+=+4\"$ , we have:
\n" ); document.write( " $\"%28y%2B5%29+=+4%2B5+=+9\"$
\n" ); document.write( " $\"%28y-1%29+=+4-1+=+3\"$
\n" ); document.write( " $\"%28y%2B5%29%28y-1%29+=+%283%29%289%29+=+27\"$
\n" ); document.write( "Check.
\n" ); document.write( "Done. \n" ); document.write( "

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