document.write( "Question 298374: gcf and quadratic equation\r
\n" ); document.write( "\n" ); document.write( "4xsquared-8x-60=0 \n" ); document.write( "
Algebra.Com's Answer #214669 by dawnhannah(7)\"\" \"About 
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Well this question is a quadradic equation because there is an x squared term. To solve you want to factor out the greatest common factor, and that is a 4.\r
\n" ); document.write( "\n" ); document.write( "4x^2-8x-60=0 will become 4(x^2-2x-15)=0\r
\n" ); document.write( "\n" ); document.write( "Next you would take the x^2-2x-15=0 and factor that. Multiply the first and last coefficients which in this case is 1 and 15. Then find the factors of 15 that add to the middle term of 2. Break the middle term into two terms using those factors as the coefficients.
\n" ); document.write( "So broken down it looks like this.
\n" ); document.write( "4x^2-8x-60=0
\n" ); document.write( "4(x^2-8x-60)=0
\n" ); document.write( "4(x-5)(x+3)=0
\n" ); document.write( "Lastly you would set them equal to 0.
\n" ); document.write( "x-5=0 and x+3=0
\n" ); document.write( "And solve for x by adding 5 to both sides
\n" ); document.write( "x-5=0
\n" ); document.write( " +5 +5
\n" ); document.write( "x=5
\n" ); document.write( "And subtracting 3 to both sides
\n" ); document.write( "x+3=0
\n" ); document.write( " -3 -3
\n" ); document.write( "x=-3
\n" ); document.write( "
\n" ); document.write( "x=5 and x=-3 \n" ); document.write( "
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