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Solve for ww.\newline8w=9w−7\sqrt{8w} = \sqrt{9w - 7}\newlinew=w = _____

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Full solution

Q. Solve for ww.\newline8w=9w−7\sqrt{8w} = \sqrt{9w - 7}\newlinew=w = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(8w)2=(9w−7)2(\sqrt{8w})^2 = (\sqrt{9w - 7})^2\newline8w=9w−78w = 9w - 7
  2. Subtract 9w9w: Subtract 9w9w from both sides to get all the ww terms on one side.\newline8w−9w=9w−9w−78w - 9w = 9w - 9w - 7\newline−1w=−7-1w = -7
  3. Divide by −1-1: Divide both sides by −1-1 to solve for ww.w=−7−1w = \frac{-7}{-1}w=7w = 7

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