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Solve for zz. \newlinez2−46z=0z^2 - 46z = 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 = \_\_

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Q. Solve for zz. \newlinez2−46z=0z^2 - 46z = 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 common factor: Factor out the common factor zz. We notice that both terms in the equation z2−46z=0z^2 - 46z = 0 have a common factor of zz. We can factor out zz from both terms to simplify the equation. z(z−46)=0z(z - 46) = 0
  2. Set factors equal: Set each factor equal to zero to find the values of zz. Since the product of two factors is zero, at least one of the factors must be zero. Therefore, we set each factor equal to zero and solve for zz. z=0z = 0 or z−46=0z - 46 = 0
  3. Solve for z: Solve the second equation z−46=0z - 46 = 0 for zz. Adding 4646 to both sides of the equation z−46=0z - 46 = 0 gives us: z=46z = 46

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