document.write( "Question 445074: Solve for n: n- 3/n = 26/3 \n" ); document.write( "
Algebra.Com's Answer #306754 by benni1013(206)\"\" \"About 
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Step 1: Put your n over 1
\n" ); document.write( "(n/1)-(3/n)=26/3
\n" ); document.write( "Step 2: Create a common denominator.
\n" ); document.write( "(n^2/n)-(3/n)=26/3
\n" ); document.write( "Step 3: Combine the fractions.
\n" ); document.write( "((n^2-3)/n))=26/3
\n" ); document.write( "Step 4: Multiply each side by 3/26
\n" ); document.write( "((3(n^2-3)/26n))=1
\n" ); document.write( "Step 5: Multiply each side by 26n
\n" ); document.write( "((3(n^2-3))=26n
\n" ); document.write( "Step 6: Distribute the 3 through on the left hand side
\n" ); document.write( "(3n^2-9)=26n
\n" ); document.write( "Step 7: Subtract 26n from the right hand side
\n" ); document.write( "(3n^2-26n-9)=0
\n" ); document.write( "Step 8: FACTOR
\n" ); document.write( "3(n-9)(n+1)=0
\n" ); document.write( "Step 9: Divide by 3
\n" ); document.write( "(n-9)(n+1)=0
\n" ); document.write( "Step 10: Solve each equation independently
\n" ); document.write( "n-9=0; n+1=0
\n" ); document.write( "n=9, -1
\n" ); document.write( "Step 11: Check the answers in the original equation
\n" ); document.write( "n-(3/n)=26/3; 9-(3/9)=26/3; 9-(1/3)=26/3; (27/3-1/3)=26/3 (This checks)
\n" ); document.write( "-1-(3/-1)=26/3; -1-(-3)=26/3; -1+3=26/3; -2=26/3; -6/3=26/3 (This doesn't check)
\n" ); document.write( "Step 12: Final Answer
\n" ); document.write( "9 \n" ); document.write( "
\n" );