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Solve for qq.\newline−5q=−2q+3\sqrt{-5q} = \sqrt{-2q + 3}\newlineq=q = _____

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Full solution

Q. Solve for qq.\newline−5q=−2q+3\sqrt{-5q} = \sqrt{-2q + 3}\newlineq=q = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(−5q)2=(−2q+3)2(\sqrt{-5q})^2 = (\sqrt{-2q + 3})^2\newline−5q=−2q+3-5q = -2q + 3
  2. Move terms with q: Move all terms containing q to one side of the equation.\newline−5q+2q=−2q+2q+3-5q + 2q = -2q + 2q + 3\newline−3q=3-3q = 3
  3. Divide by −3-3: Divide both sides by extendash 33 to solve for qq.−3q(−3)=3(−3)\frac{-3q}{(-3)} = \frac{3}{(-3)}\[\(q = -1\)]

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