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h2−16h=0h^2 - 16h = 0

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Q. h2−16h=0h^2 - 16h = 0
  1. Factor out common term: Factor out the common term hh from the equation.h(h−16)=0h(h - 16) = 0
  2. Solve for h: Set each factor equal to zero and solve for h.\newlineFirst factor: h=0h = 0\newlineSecond factor: h−16=0h - 16 = 0, which gives h=16h = 16
  3. Check solutions: Check the solutions in the original equation to ensure they do not result in any mathematical errors.\newlineFor h=0 h = 0 : (0)2−16(0)=0 (0)^2 - 16(0) = 0 , which simplifies to 0=0 0 = 0 , so this is a valid solution.\newlineFor h=16 h = 16 : (16)2−16(16)=256−256 (16)^2 - 16(16) = 256 - 256 , which simplifies to 0=0 0 = 0 , so this is also a valid solution.

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