document.write( "Question 888732: 0.5x^2=0.75x+5 \n" ); document.write( "

Algebra.Com's Answer #537630 by LinnW(1048) $\"\"$ $\"About$

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$\"0.5x%5E2=0.75x%2B5\"$
\n" ); document.write( "add ( -0.75x-5 ) to each side
\n" ); document.write( " $\"0.5x%5E2+-+0.75x+-+5+=+0\"$
\n" ); document.write( "multiply each side by 100
\n" ); document.write( "50x^2 - 75x - 500 = 0
\n" ); document.write( "divide each side by 25
\n" ); document.write( " 2x^2 - 3x - 20 = 0
\n" ); document.write( "We want two numbers whose product is (2)(-20) = -40 and sum is -3
\n" ); document.write( "-8 and 5 work for this
\n" ); document.write( " 2x^2 -8x +5x -20 = 0
\n" ); document.write( "Factor by grouping
\n" ); document.write( " 2x(x - 4) +5(x - 4) = 0
\n" ); document.write( " (2x + 5)(x - 4) = 0
\n" ); document.write( "So x = -2.5 or x = 4
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