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Solve for hh.\newline31h2−19h=031h^2 - 19h = 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 = ____

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Q. Solve for hh.\newline31h2−19h=031h^2 - 19h = 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 = ____
  1. Factor GCF: Factor out the greatest common factor (GCF) from the equation 31h2−19h=031h^2 - 19h = 0. The GCF of 31h231h^2 and 19h19h is hh. Factor out hh from each term. h(31h−19)=0h(31h - 19) = 0
  2. Set Equal Zero: Set each factor equal to zero and solve for hh. First, set hh equal to zero: h=0h = 0 This is one solution. Next, set the other factor equal to zero: 31h−19=031h - 19 = 0
  3. Solve for h: Solve the equation 31h−19=031h - 19 = 0 for hh.\newlineAdd 1919 to both sides of the equation to isolate the term with hh.\newline31h−19+19=0+1931h - 19 + 19 = 0 + 19\newline31h=1931h = 19\newlineNow, divide both sides by 3131 to solve for hh.\newlineh=1931h = \frac{19}{31}\newlineThis is the second solution.

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