document.write( "Question 76288: Pleas show me how to solve the equation using the zero-factor property. thanks!\r
\n" ); document.write( "\n" ); document.write( "Z(Z+27)=5(3Z-7) \n" ); document.write( "

Algebra.Com's Answer #54736 by Cintchr(481) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+Z%28Z%2B27%29=5%283Z-7%29+\"$
\n" ); document.write( "First you must distribute the z and the 5 across their quantities.
\n" ); document.write( " $\"+z%5E2+%2B+27z+=+15z+-+35+\"$
\n" ); document.write( "Move all values to the left, thereby setting the equation equal to zero.
\n" ); document.write( " $\"+z%5E2+%2B+27z+-+15z+%2B+35+=+0+\"$
\n" ); document.write( "Combine like terms
\n" ); document.write( " $\"+z%5E2+%2B+12z+%2B+35+=+0+\"$
\n" ); document.write( "Factor
\n" ); document.write( " $\"+%28z%2B5%29%28z%2B7%29+=+0+\"$
\n" ); document.write( "Set each piece equal to zero
\n" ); document.write( " $\"+z%2B5=0+\"$ and $\"+z%2B7=0+\"$
\n" ); document.write( " $\"+z=-5+\"$ and $\"+z=-7+\"$ \r
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