document.write( "Question 823881: I need not only answers,but detail solution too
\n" ); document.write( "Find x when $\"5%5E%282x%2B2%29\"$ − $\"5%5E%28x%2B6%29\"$ = $\"5%5Ex+\"$ − 625 \n" ); document.write( "

Algebra.Com's Answer #495926 by KMST(5328) $\"\"$ $\"About$

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$\"5%5E%282x%2B2%29-5%5E%28x%2B6%29=5%5Ex+-+625\"$
\n" ); document.write( " $\"5%5E%282x%2B2%29-5%5E%28x%2B6%29=5%5Ex+-+5%5E4\"$ (because $\"5%5E4=325\"$ )
\n" ); document.write( " $\"5%5E%28x%2B2%29%2A5%5Ex-5%5E%28x%2B2%29%2A5%5E4=5%5Ex+-+5%5E4\"$ (because $\"a%5Eb%2Aa%5Ec=a%5E%28b%2Bc%29\"$ )
\n" ); document.write( " $\"5%5E%28x%2B2%29%2A%285%5Ex-5%5E4%29=1%2A%285%5Ex+-+5%5E4%29\"$ (taking out $\"5%5E%28x%2B2%29\"$ as a common factor)
\n" ); document.write( " $\"5%5E%28x%2B2%29%2A%285%5Ex-5%5E4%29-1%2A%285%5Ex+-+5%5E4%29=0\"$ (subtracting the expression on the right hand side from both sides of the equal sign)
\n" ); document.write( " $\"%285%5E%28x%2B2%29-1%29%2A%285%5Ex+-+5%5E4%29=0\"$ (taking out $\"%285%5Ex+-+5%5E4%29\"$ as a common factor)
\n" ); document.write( "Since the product of two factors $\"%285%5E%28x%2B2%29-1%29%2A%285%5Ex+-+5%5E4%29\"$ is zero,
\n" ); document.write( "one of those two factors must be zero.
\n" ); document.write( "So either
\n" ); document.write( " $\"5%5E%28x%2B2%29-1=0\"$ --> $\"5%5E%28x%2B2%29=1\"$ --> $\"x%2B2=0\"$ --> $\"highlight%28x=-2%29\"$
\n" ); document.write( "or
\n" ); document.write( " $\"5%5Ex+-+5%5E4=0\"$ --> $\"5%5Ex+=+5%5E4\"$ --> $\"highlight%28x=4%29\"$ \n" ); document.write( "

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