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Solve for uu. \newline20u2−43u=020u^2 - 43u = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlineu=__u = \_\_

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Q. Solve for uu. \newline20u2−43u=020u^2 - 43u = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlineu=__u = \_\_
  1. Factor GCF: Factor out the greatest common factor (GCF) from the equation 20u2−43u=020u^2 - 43u = 0. The GCF of 20u220u^2 and 43u43u is uu. Factor out uu from each term. u(20u−43)=0u(20u - 43) = 0
  2. Set u=0u = 0: Set each factor equal to zero and solve for uu.\newlineFirst, set uu equal to zero:\newlineu=0u = 0\newlineThis is one solution.
  3. Solve for u=4320u = \frac{43}{20}: Now set the other factor equal to zero and solve for uu:20u−43=020u - 43 = 0Add 4343 to both sides to isolate the term with uu:20u=4320u = 43Divide both sides by 2020 to solve for uu:u=4320u = \frac{43}{20}This is the second solution.

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