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a+4/2 = a+4/a [Find the lowest common denominator (LCD)]
\n" ); document.write( "(2*a) = LCD
\n" ); document.write( "(2a)(a+4)/2 = (2a)(a+4)/a [Multiply each fraction by the LCD]
\n" ); document.write( "(a)(a+4) = (2)(a+4) [Cancel wherever necessary]
\n" ); document.write( "a^2 + 4a = 2a + 8 [Simplify]
\n" ); document.write( "a^2 + 4a - 2a - 8 = 0 [Isolate all of the terms on one side of the equation]
\n" ); document.write( "a^2 + 2a - 8 = 0 [Combine like-terms]
\n" ); document.write( "(a-2)(a+4) = 0 [Factor]
\n" ); document.write( ".
\n" ); document.write( "[Set each factor equal to zero and solve for \"a\"]
\n" ); document.write( "a-2=0
\n" ); document.write( "a=2
\n" ); document.write( ".
\n" ); document.write( "or
\n" ); document.write( "a+4=0
\n" ); document.write( "a=-4
\n" ); document.write( ".
\n" ); document.write( "So, a=2 or a=-4
\n" ); document.write( ".
\n" ); document.write( "Check by plugging (a=2) or (a=-4) back into the original equation.\r
\n" ); document.write( "\n" ); document.write( "a=2
\n" ); document.write( "(2)+4/2 = (2)+4/(2)
\n" ); document.write( "6/2 = 6/2
\n" ); document.write( "3 = 3 [Checks out]
\n" ); document.write( ".
\n" ); document.write( "a= -4
\n" ); document.write( "(-4)+4/2 = (-4)+4/(-4)
\n" ); document.write( "0/2 = 0/-4
\n" ); document.write( "0=0 [Checks out]\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "