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Solve for hh.\newline22h2−13h=022h^2 - 13h = 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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Solve a quadratic equation by factoringright chevron icon

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Q. Solve for hh.\newline22h2−13h=022h^2 - 13h = 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).\newlineThe GCF of 22h222h^2 and 13h13h is hh.\newlineFactor out the GCF from each term in 22h2−13h=022h^2 - 13h = 0.\newlineh(22h−13)=0h(22h - 13) = 0
  2. Apply Zero Product Property: Apply the zero product property.\newlineIf the product of two factors is zero, then at least one of the factors must be zero.\newlineSet each factor equal to zero and solve for hh.\newlineh=0h = 0 and 22h−13=022h - 13 = 0
  3. Solve Equation: Solve the equation 22h−13=022h - 13 = 0 for hh. Add 1313 to both sides of the equation to isolate the term with hh. 22h−13+13=0+1322h - 13 + 13 = 0 + 13 22h=1322h = 13 Divide both sides by 2222 to solve for hh. h=1322h = \frac{13}{22}

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