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Solve for hh.\newline4h=55h\sqrt{\,-4h} = \sqrt{\,-5 - 5h}\newlineh=____h = \,\_\_\_\_

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Q. Solve for hh.\newline4h=55h\sqrt{\,-4h} = \sqrt{\,-5 - 5h}\newlineh=____h = \,\_\_\_\_
  1. Square Both Sides: Square both sides of the equation to eliminate the square roots.\newline(4h)2=(55h)2(\sqrt{-4h})^2 = (\sqrt{-5 - 5h})^2\newline4h=55h-4h = -5 - 5h
  2. Add Terms: Add 5h5h to both sides of the equation to get all hh terms on one side.\newline4h+5h=55h+5h-4h + 5h = -5 - 5h + 5h\newlineh=5h = -5
  3. Check Solution: Check for any math errors and verify if the solution makes sense in the original equation.\newlineSubstitute h=5h = -5 back into the original equation:\newline4(5)=55(5)\sqrt{-4(-5)} = \sqrt{-5 - 5(-5)}\newline20=20\sqrt{20} = \sqrt{20}\newlineSince both sides are equal, there are no math errors, and the solution is correct.

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