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Solve for zz. \newlinez2+39z=0z^2 + 39z = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlinez=z = ____

Full solution

Q. Solve for zz. \newlinez2+39z=0z^2 + 39z = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlinez=z = ____
  1. Factor out zz: Factor out the common factor zz from the equation z2+39z=0z^2 + 39z = 0.
  2. Set equal to zero: Set each factor equal to zero to find the values of zz.
  3. Solve for z=0z=0: Solve the first equation z=0z = 0.
  4. Solve for z+39=0z+39=0: Solve the second equation z+39=0z + 39 = 0.

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