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Solve for pp.\newlinep2−6p=0p^2 - 6p = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlinep = ____

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Q. Solve for pp.\newlinep2−6p=0p^2 - 6p = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlinep = ____
  1. Identify Equation: Identify the equation to solve.\newlineWe have the quadratic equation p2−6p=0p^2 - 6p = 0.
  2. Factor Common Term: Factor out the common term.\newlineWe can factor pp out of both terms.\newlinep(p−6)=0p(p - 6) = 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 pp.\newlinep=0p = 0 or p−6=0p - 6 = 0
  4. Solve First Equation: Solve the first equation. p=0p = 0 This is our first solution.
  5. Solve Second Equation: Solve the second equation.\newlinep−6=0p - 6 = 0\newlineAdd 66 to both sides to solve for pp.\newlinep=6p = 6\newlineThis is our second solution.

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