document.write( "Question 2714: need help with quadratic problem\r
\n" ); document.write( "\n" ); document.write( "4x^2 + 27x -7 \n" ); document.write( "

Algebra.Com's Answer #1242 by xcentaur(357) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"4x%5E2+%2B+27x+-+7+=+0+\"$
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\n" ); document.write( "We need factors that when multiplies give us: (4*-7)=-28
\n" ); document.write( "We also need factors that when added up give us: +27
\n" ); document.write( "These factors are: +28,-1
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\n" ); document.write( " $\"4x%5E2+%2B+27x+-+7+=+0+\"$
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\n" ); document.write( " $\"4x%5E2+%2B+28x+-1x+-+7+=+0+\"$
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\n" ); document.write( " $\"4x%28x+%2B+7%29-1%28x+%2B+7%29+=+0+\"$
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\n" ); document.write( " $\"%28x%2B7%29%284x-1%29+=+0+\"$
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\n" ); document.write( "Thus we get,
\n" ); document.write( "(x+7)=0 AND (4x-1)=0
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\n" ); document.write( "Resulting values of x becoming,
\n" ); document.write( "x=-7 AND x=(1/4)
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\n" ); document.write( "Solution set={-7,1/4}
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\n" ); document.write( "Hope this helps,
\n" ); document.write( "best of luck
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