document.write( "Question 402761: (6x^2+7y-20) how do I factor? \n" ); document.write( "
Algebra.Com's Answer #284889 by sofiyac(983)\"\" \"About 
You can put this solution on YOUR website!
Did you mean 6x^2+7x-20??? Becaues the way you wrote it there's nothing to factor. To solve for x you can either use quadratic formula or complete the square. Formula is easier.\r
\n" ); document.write( "\n" ); document.write( "6x^2+7x-20=0
\n" ); document.write( "a=6, b=7, c=-20
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"x+=+%28-7+%2B-+sqrt%28+7%5E2-4%2A6%2A-20+%29%29%2F%282%2A6%29+\"
\n" ); document.write( "\"x+=+%28-7+%2B-+sqrt%28+49%2B480+%29%29%2F%2812%29+\"
\n" ); document.write( "\"x+=+%28-7+%2B-+sqrt%28+529+%29%29%2F%2812%29+\"
\n" ); document.write( "\"x+=+%28-7+%2B-+23%29%2F%2812%29+\"
\n" ); document.write( "\"x+=+%28-7+%2B+23%29%2F%2812%29=16%2F12=4%2F3\"
\n" ); document.write( "or
\n" ); document.write( "\"x+=+%28-7+-+23%29%2F%2812%29=-30%2F12=-5%2F2+\"
\n" ); document.write( "So those are your roots.
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\n" ); document.write( "\"6x%5E2%2B7y-20\" you can try completing the square on it as well
\n" ); document.write( "\"6x%5E2%2B7x-20=0\"
\n" ); document.write( "\"6x%5E2%2B7x=20\"
\n" ); document.write( "\"6%28x%5E2%2B7x%2F6%29=20\" so we need to add (7/12)^2 in order to complete the square. But we have to account for that 6 up front, so in reality we are adding 49/24
\n" ); document.write( "\"6%28x%5E2%2B7x%2F6%2B%287%2F12%29%5E2%29=20%2B49%2F24\"
\n" ); document.write( "\"6%28x%2B7%2F12%29%5E2=20%2B49%2F24\"
\n" ); document.write( "\"6%28x%2B7%2F12%29%5E2=480%2F24%2B49%2F24\"
\n" ); document.write( "\"6%28x%2B7%2F12%29%5E2=529%2F24\" divide each side by 6
\n" ); document.write( "\"%28x%2B7%2F12%29%5E2=529%2F144\" take square root of each side
\n" ); document.write( "\"x%2B7%2F12=%28%2B-23%29%2F12\" subtract 7/12 from each side
\n" ); document.write( "\"x=%2B23%2F12-7%2F12=16%2F12=4%2F3\"
\n" ); document.write( "or
\n" ); document.write( "\"x=-23%2F12-7%2F12=-30%2F12=-5%2F2\"\r
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