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Solve for hh. \newline h2−9h=0h^2 - 9h = 0 \newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newline h=h = _____

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Composition of linear and quadratic functions: find a valueright chevron icon

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Q. Solve for hh. \newline h2−9h=0h^2 - 9h = 0 \newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newline h=h = _____
  1. Identify equation: Identify the equation to solve.\newlineWe are given the quadratic equation h2−9h=0h^2 - 9h = 0 and we need to find the values of hh that satisfy this equation.
  2. Factor out common term: Factor out the common term hh.\newlineWe can factor hh from both terms on the left side of the equation.\newlineh(h−9)=0h(h - 9) = 0
  3. 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.\newlineSo, we set each factor equal to zero and solve for hh.\newlineh=0h = 0 or h−9=0h - 9 = 0
  4. Solve each equation: Solve each equation for hh.
    For the first factor, we already have h=0h = 0.
    For the second factor, add 99 to both sides to solve for hh.
    h−9+9=0+9h - 9 + 9 = 0 + 9
    h=9h = 9

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