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Solve for ww.\newline(−2w+1)=−3w\sqrt{(-2w + 1)} = \sqrt{-3w}\newlinew=w = _____

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Full solution

Q. Solve for ww.\newline(−2w+1)=−3w\sqrt{(-2w + 1)} = \sqrt{-3w}\newlinew=w = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(−2w+1)2=(−3w)2(\sqrt{-2w + 1})^2 = (\sqrt{-3w})^2\newline−2w+1=−3w-2w + 1 = -3w
  2. Add ww terms: Add 3w3w to both sides to get all the ww terms on one side.\newline−2w+3w+1=−3w+3w-2w + 3w + 1 = -3w + 3w\newlinew+1=0w + 1 = 0
  3. Subtract to solve: Subtract 11 from both sides to solve for ww. \newlinew+1−1=0−1w + 1 - 1 = 0 - 1\newlinew=−1w = -1

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