document.write( "Question 88704: Solve the quadratic equation by factoring. $\"x%5E2=400\"$
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Algebra.Com's Answer #64467 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%5E2=400\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x%5E2-400=0\"$ subtract 400 from both sides\r
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Solved by pluggable solver: Factoring using the AC method (Factor by Grouping)

$\"%5E2%2B0%2A-400\"$ Start with the given expression.

$\"400%28%281%2F400%29%2B1-1%29\"$ Factor out the GCF $\"400\"$ .

Now let's try to factor the inner expression $\"%281%2F400%29%2B1-1\"$

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\n" ); document.write( "\n" ); document.write( " $\"%28x-20%29%28x%2B20%29=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x-20=0\"$ or $\"x%2B20=0\"$ Set each factor equal to zero\r
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\n" ); document.write( "\n" ); document.write( " $\"x=20\"$ or $\"x=-20\"$ Solve for x \n" ); document.write( "

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