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Solve for nn.\newline21n2+50n=021n^2 + 50n = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlinen=n = ____

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Q. Solve for nn.\newline21n2+50n=021n^2 + 50n = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlinen=n = ____
  1. Factor GCF: Factor out the greatest common factor (GCF) which is ＂nn＂.\newline21n2+50n=n(21n+50)=021n^2 + 50n = n(21n + 50) = 0
  2. Set Equal to Zero: Set each factor equal to zero and solve for nn.\newlineFirst, set n=0n = 0.\newlinen=0n = 0
  3. Solve for n: Now, set the other factor equal to zero and solve for n.\newline21n+50=021n + 50 = 0\newlineSubtract 5050 from both sides.\newline21n=−5021n = -50\newlineDivide both sides by 2121.\newlinen=−5021n = \frac{-50}{21}\newlineSimplify the fraction.\newlinen=−5021n = \frac{-50}{21}

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