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Solve for kk.\newline27k2−5k=027k^2 - 5k = 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.\newline27k2−5k=027k^2 - 5k = 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. Factor GCF: Factor out the greatest common factor (GCF) of the terms in the equation 27k2−5k=027k^2 - 5k = 0. The GCF of 27k227k^2 and −5k-5k is kk. Factor out kk from each term. k(27k−5)=0k(27k - 5) = 0
  2. Solve for k=0k = 0: Set each factor equal to zero and solve for kk.\newlineFirst, set kk equal to zero:\newlinek=0k = 0\newlineThis is one solution.
  3. Solve for k=527k = \frac{5}{27}: Now set the other factor equal to zero and solve for kk:27k−5=027k - 5 = 0Add 55 to both sides of the equation:27k=527k = 5Divide both sides by 2727 to isolate kk:k=527k = \frac{5}{27}This is the second solution.

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