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Solve for hh. \newline23h2−49h=023h^2 - 49h = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlineh=h = ____

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Q. Solve for hh. \newline23h2−49h=023h^2 - 49h = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlineh=h = ____
  1. Factor GCF: Factor out the greatest common factor (GCF) from the equation 23h2−49h=023h^2 - 49h = 0. The GCF of 23h223h^2 and 49h49h is hh. Factor out hh from each term. h(23h−49)=0h(23h - 49) = 0
  2. Set Equal to Zero: Set each factor equal to zero and solve for hh.\newlineFirst, set hh equal to zero:\newlineh=0h = 0\newlineThis is one solution.\newlineNext, set the other factor equal to zero:\newline23h−49=023h - 49 = 0
  3. Solve for hh: Solve the equation 23h−49=023h - 49 = 0 for hh. Add 4949 to both sides of the equation to isolate the term with hh. 23h−49+49=0+4923h - 49 + 49 = 0 + 49 23h=4923h = 49 Now, divide both sides by 2323 to solve for hh. h=4923h = \frac{49}{23} 23h−49=023h - 49 = 000 Since we need the answer as an integer, proper fraction, or improper fraction, we can leave hh as the fraction 23h−49=023h - 49 = 022, which is already in simplest form.

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