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Solve for kk. \newlinek2−32k=0k^2 - 32k = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlinek = ____

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Q. Solve for kk. \newlinek2−32k=0k^2 - 32k = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlinek = ____
  1. Identify Equation: Identify the equation to solve.\newlineWe have the quadratic equation k2−32k=0k^2 - 32k = 0.
  2. Factor Common Term: Factor out the common term.\newlineWe can factor kk out of both terms in the equation.\newlinek(k−32)=0k(k - 32) = 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 kk.\newlinek=0k = 0 or k−32=0k - 32 = 0
  4. Solve First Equation: Solve the first equation. k=0k = 0 This is our first solution.
  5. Solve Second Equation: Solve the second equation.\newlinek−32=0k - 32 = 0\newlineAdd 3232 to both sides to solve for kk.\newlinek=32k = 32\newlineThis is our second solution.

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