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Solve for hh. \newline h2+24h=0h^2 + 24h = 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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Full solution

Q. Solve for hh. \newline h2+24h=0h^2 + 24h = 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. Factor out common term: Factor out the common term hh from the equation.\newlineWe can factor hh from both terms in the equation h2+24h=0h^2 + 24h = 0 to get h(h+24)=0h(h + 24) = 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. Therefore, we set each factor equal to zero: h=0h = 0 and h+24=0h + 24 = 0.
  3. Solve for hh: Solve each equation for hh.\newlineFor the first factor, we already have h=0h = 0. For the second factor, we subtract 2424 from both sides to get h=−24h = -24.

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