document.write( "Question 166126: How would you solve the following equation by factoring and applying the Zero-Product Property?\r
\n" ); document.write( "\n" ); document.write( " $\"5x%5E2-125=0\"$ \r
\n" ); document.write( "\n" ); document.write( "This is what I have tried:
\n" ); document.write( "(5x+5)(x+-5)
\n" ); document.write( "5x+5=0
\n" ); document.write( "5x=-5
\n" ); document.write( "x=-1
\n" ); document.write( "x+-5=0
\n" ); document.write( "x=5\r
\n" ); document.write( "\n" ); document.write( "Thank you so much!:D\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #122417 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"5x%5E2-125=0\"$ Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( " $\"5%28x%5E2-25%29=0\"$ Factor out the GCF 5\r
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\n" ); document.write( "\n" ); document.write( " $\"5%28x%2B5%29%28x-5%29=0\"$ Factor $\"x%5E2-25\"$ to get $\"%28x%2B5%29%28x-5%29\"$ (note: use the difference of squares.)\r
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\n" ); document.write( "\n" ); document.write( "Now set each factor equal to zero:\r
\n" ); document.write( "\n" ); document.write( " $\"x%2B5=0\"$ or $\"x-5=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x=-5\"$ or $\"x=5\"$ Now solve for x in each case\r
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\n" ); document.write( "\n" ); document.write( "So our answers are \r
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\n" ); document.write( "\n" ); document.write( " $\"x=-5\"$ or $\"x=5\"$
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