document.write( "Question 647767: 5n²- 5n \n" ); document.write( "

Algebra.Com's Answer #406355 by Algebraic(50) $\"\"$ $\"About$

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We're going to factor this equation by using the zero-product principle, which means we will be setting the entire equation equal to zero.\r
\n" ); document.write( "\n" ); document.write( "Step 1: You can factor out a 5 and an 'n' from each of the factors.
\n" ); document.write( " $\"5n%5E2-5n=0\"$ \r
\n" ); document.write( "\n" ); document.write( "The equation now becomes:\r
\n" ); document.write( "\n" ); document.write( " $\"5n%5E2-5n=0\"$
\n" ); document.write( " $\"5n%28n-1%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( "Step 2: Set everything on the outside and inside of the equation equal to zero.\r
\n" ); document.write( "\n" ); document.write( " $\"5n+=+0\"$ and $\"%28n-1%29+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( "Step 3:\r
\n" ); document.write( "\n" ); document.write( "For $\"5n+=+0\"$ , divide 5 on both sides to get 'n' by itself. When you do that, you're going to get n = 0. This is ONE answer.\r
\n" ); document.write( "\n" ); document.write( "Step 4: For $\"%28n-1%29+=+0\"$ , add 1 to both sides to get 'n' by itself. When you do that, you're going to get n = 1. This is the SECOND answer.\r
\n" ); document.write( "\n" ); document.write( "Step 5: Your answers are n = 0 and n = 1 \n" ); document.write( "

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