document.write( "Question 77123: x square-3x-4=-2x+2 do i subtract or add -2x from both sides? \n" ); document.write( "

Algebra.Com's Answer #55271 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
You want to get rid of the -2x on the right side, so
\n" ); document.write( "just do something to both sides that cancels out the -2x
\n" ); document.write( "on the right side. That happens to be adding 2x to both sides
\n" ); document.write( "You can think of it as subtracting a -2x from both sides, so
\n" ); document.write( "I'll do it that way
\n" ); document.write( " $\"x%5E2+-+3x+-+4+=+-2x+%2B+2\"$
\n" ); document.write( " $\"x%5E2+-+3x+-%28-2x%29+-+4+=+-2x+-%28-2x%29+%2B+2\"$
\n" ); document.write( " $\"x%5E2+-+3x+%2B+2x+-+4+=+-2x+%2B+2x+%2B+2\"$
\n" ); document.write( " $\"x%5E2+-+x+-+4+=+2\"$
\n" ); document.write( "now subtract 2 from both sides
\n" ); document.write( " $\"x%5E2+-+x+-+4+-+2+=+2+-+2\"$
\n" ); document.write( " $\"x%5E2+-+x+-+6+=+0\"$
\n" ); document.write( "and this equals
\n" ); document.write( " $\"%28x-3%29%28x%2B2%29\"$
\n" ); document.write( "so x can be +3 or -2 answer
\n" ); document.write( "check answer
\n" ); document.write( " $\"x%5E2+-+x+-+6+=+0\"$
\n" ); document.write( " $\"3%5E2+-+3+-+6+=+0\"$
\n" ); document.write( " $\"9+-+9+=+0\"$ OK
\n" ); document.write( "-------------------
\n" ); document.write( " $\"x%5E2+-+x+-+6+=+0\"$
\n" ); document.write( " $\"%28-2%29%5E2+-%28-2%29+-+6+=+0\"$
\n" ); document.write( " $\"4+%2B+2+-6+=+0\"$
\n" ); document.write( " $\"6+-+6+=+0\"$ OK \n" ); document.write( "

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