document.write( "Question 247449: i need to find the value of \"y\" in the equation 6y+2=2y*y-6. i forgot how to remove the y*y (y squared)and solve. \n" ); document.write( "

Algebra.Com's Answer #180522 by oberobic(2304) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"6y+%2B+2+=+2y%5E2+-+6\"$
\n" ); document.write( "Subtract 2 from both sides
\n" ); document.write( " $\"6y+=+2y%5E2+-+8\"$
\n" ); document.write( "Subtract 6y from both sides
\n" ); document.write( " $\"0+=+2y%5E2+-+6y+-+8\"$
\n" ); document.write( "Divide both sides by 2
\n" ); document.write( " $\"0+=+y%5E2+-+3y+-+4\"$
\n" ); document.write( "Which means
\n" ); document.write( " $\"y%5E2+-+3y+-+4+=+0\"$
\n" ); document.write( "Can you factor -4 to find two factors that total -3?
\n" ); document.write( "How about -4 and + 1?
\n" ); document.write( ".
\n" ); document.write( " $\"%28y-4%29%28y%2B1%29=0\"$
\n" ); document.write( ".
\n" ); document.write( "So, y = 4 or -1.
\n" ); document.write( ".
\n" ); document.write( "Always check your work!
\n" ); document.write( ".
\n" ); document.write( "Substitute y =4.
\n" ); document.write( " $\"6y+%2B+2+=+2y%5E2+-+6\"$
\n" ); document.write( " $\"6%284%29+%2B+2+=+2%284%5E2%29+-+6\"$
\n" ); document.write( " $\"24+%2B+2+=+2%2816%29+-+6\"$
\n" ); document.write( " $\"26+=+26\"$
\n" ); document.write( "So y =4 checks.
\n" ); document.write( ".
\n" ); document.write( "Substitute y=-1.
\n" ); document.write( " $\"6%28-1%29+%2B+2+=+2%28-1%5E2%29+-+6\"$
\n" ); document.write( " $\"-6+%2B+2+=+2%281%29+-+6\"$
\n" ); document.write( " $\"-4+=+-4\"$
\n" ); document.write( "So y = -1 checks.
\n" ); document.write( ".
\n" ); document.write( "Done. \n" ); document.write( "

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