![\"\"](\"/images/stars/stars-09.gif\")
You can put this solution on YOUR website!
x^(2)=2x+24\r
\n" ); document.write( "\n" ); document.write( "Since 2x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 2x from both sides.
\n" ); document.write( "x^(2)-2x=24\r
\n" ); document.write( "\n" ); document.write( "To set the left-hand side of the equation equal to 0, move all the expressions to the left-hand side.
\n" ); document.write( "x^(2)-2x-24=0\r
\n" ); document.write( "\n" ); document.write( "For a polynomial of the form x^(2)+bx+c, find two factors of c (-24) that add up to b (-2). In this problem 4*-6=-24 and 4-6=-2, so insert 4 as the right hand term of one factor and -6 as the right-hand term of the other factor.
\n" ); document.write( "(x+4)(x-6)=0\r
\n" ); document.write( "\n" ); document.write( "Set each of the factors of the left-hand side of the equation equal to 0.
\n" ); document.write( "x+4=0_x-6=0\r
\n" ); document.write( "\n" ); document.write( "Since 4 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 4 from both sides.
\n" ); document.write( "x=-4_x-6=0\r
\n" ); document.write( "\n" ); document.write( "Set each of the factors of the left-hand side of the equation equal to 0.
\n" ); document.write( "x=-4_x-6=0\r
\n" ); document.write( "\n" ); document.write( "Since -6 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 6 to both sides.
\n" ); document.write( "x=-4_x=6\r
\n" ); document.write( "\n" ); document.write( "The complete solution is the set of the individual solutions.
\n" ); document.write( "Answer: x=-4,6 \n" ); document.write( "