document.write( "Question 547294: Solve by factoring and using the principle of zero products
\n" ); document.write( " $\"%282x-9%29%283x%5E2%2B26x%2B48%29=0\"$ \n" ); document.write( "

Algebra.Com's Answer #356331 by mathie123(224) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%282x-9%29%283x%5E2%2B26x%2B48%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( "The Principle of Zero Factors just says that if a product is zero, then at least one of the factors is zero. This means that either
\n" ); document.write( " $\"2x-9=0\"$
\n" ); document.write( " $\"2x=9\"$
\n" ); document.write( " $\"x=9%2F2\"$
\n" ); document.write( "OR
\n" ); document.write( " $\"%283x%5E2%2B26x%2B48%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( "Using the quadratic formula we see that either
\n" ); document.write( " $\"x=%28-26%2Bsqrt%2826%5E2-4%2A3%2A48%29%29%2F2%2A3\"$
\n" ); document.write( " $\"x=%28-26%2Bsqrt%28676-576%29%29%2F6\"$
\n" ); document.write( " $\"x=%28-26%2Bsqrt%28100%29%29%2F6\"$
\n" ); document.write( " $\"x=%28-26%2B10%29%2F6\"$
\n" ); document.write( " $\"x=%28-16%29%2F6\"$
\n" ); document.write( " $\"x=-8%2F3\"$
\n" ); document.write( "or
\n" ); document.write( " $\"x=%28-26-sqrt%2826%5E2-4%2A3%2A48%29%29%2F2%2A3\"$
\n" ); document.write( " $\"x=%28-26-sqrt%28676-576%29%29%2F6\"$
\n" ); document.write( " $\"x=%28-26-sqrt%28100%29%29%2F6\"$
\n" ); document.write( " $\"x=%28-26-10%29%2F6\"$
\n" ); document.write( " $\"x=%28-36%29%2F6\"$
\n" ); document.write( " $\"x=-6\"$ \r
\n" ); document.write( "\n" ); document.write( "Therefore there are three answers that would make the formula correct, x=-6, x=-8/3 and x=9/2\r
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\n" ); document.write( "\n" ); document.write( "Hopefully this helps, let me know if you are still unsure:) \n" ); document.write( "

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