document.write( "Question 235727: What does x equal in the quadratic equation $\"6x-17x%2B13%2B20x-32=180\"$
\n" ); document.write( "please and thank you. \n" ); document.write( "

Algebra.Com's Answer #173552 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"6x%5E2-17x%2B13=20x-32\"$
\n" ); document.write( "Subtract $\"20x\"$ from both sides
\n" ); document.write( " $\"6x%5E2+-+37x+%2B+13+=+-32\"$
\n" ); document.write( "Add $\"32\"$ to both sides
\n" ); document.write( " $\"6x%5E2+-+37x+%2B+45\"$
\n" ); document.write( "Use quadratic formula
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"a+=+6\"$
\n" ); document.write( " $\"b+=+-37\"$
\n" ); document.write( " $\"c+=+45\"$
\n" ); document.write( " $\"x+=+%28-%28-37%29+%2B-+sqrt%28+%28-37%29%5E2-4%2A6%2A45+%29%29%2F%282%2A6%29+\"$
\n" ); document.write( " $\"x+=+%28+37+%2B-+sqrt%28+1369+-+1080+%29%29%2F12+\"$
\n" ); document.write( " $\"x+=+%28+37+%2B-+sqrt%28+289+%29%29%2F12+\"$
\n" ); document.write( " $\"x+=+%28+37+%2B-+17%29%2F12+\"$
\n" ); document.write( " $\"x+=+%2837%2B17%29%2F12\"$
\n" ); document.write( " $\"x+=+54%2F12\"$
\n" ); document.write( " $\"x+=+9%2F2\"$
\n" ); document.write( "and
\n" ); document.write( " $\"x+=+%2837+-+17%29%2F12\"$
\n" ); document.write( " $\"x+=+20%2F12\"$
\n" ); document.write( " $\"x+=+5%2F3\"$
\n" ); document.write( "The solutions are $\"x+=+9%2F2\"$
\n" ); document.write( "and $\"x+=+5%2F3\"$ \n" ); document.write( "

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