document.write( "Question 387749: solve t/5-5/t=0 The solutions are ____ ? Or the equation has no solution? \n" ); document.write( "

Algebra.Com's Answer #274134 by Earlsdon(6294) $\"\"$ $\"About$

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Solve:
\n" ); document.write( " $\"t%2F5+-+5%2Ft+=+0\"$ Subtract the fractions. The LCD is $\"5t\"$
\n" ); document.write( " $\"t%5E2%2F5t+-+25%2F5t+=+0\"$ Simplify.
\n" ); document.write( " $\"%28t%5E2-25%29%2F5t+=+0\"$ Multiply by 5t.
\n" ); document.write( " $\"t%5E2-25+=+0\"$ Factor the difference of squares binomial.
\n" ); document.write( " $\"%28t%2B5%29%28t-5%29+=+0\"$ Apply the zero product rule.
\n" ); document.write( " $\"t%2B5+=+0\"$ or $\"t-5+=+0\"$ so that...
\n" ); document.write( " $\"t+=+-5\"$ or $\"t+=+5\"$
\n" ); document.write( "The solutions are:
\n" ); document.write( " $\"t+=+-5\"$ , $\"t+=+5\"$ \r
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