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Solve for nn.\newlinen2−8n=0n^2 - 8n = 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 = ____

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Q. Solve for nn.\newlinen2−8n=0n^2 - 8n = 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 = ____
  1. Identify Equation: Identify the equation to solve.\newlineWe have the quadratic equation n2−8n=0n^2 - 8n = 0.
  2. Factor Common Term: Factor out the common term.\newlineWe can factor out nn from both terms in the equation.\newlinen(n−8)=0n(n - 8) = 0
  3. Apply Zero Product Property: Apply the zero product property.\newlineIf the product of two factors is zero, then at least one of the factors must be zero.\newlineSo, we set each factor equal to zero and solve for nn.\newlinen=0n = 0 or n−8=0n - 8 = 0
  4. Solve First Equation: Solve the first equation. n=0n = 0 This is our first solution.
  5. Solve Second Equation: Solve the second equation.\newlinen−8=0n - 8 = 0\newlineAdd 88 to both sides to solve for nn.\newlinen=8n = 8\newlineThis is our second solution.

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