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Solve for qq.\newline6−6q=−9q\sqrt{6 - 6q} = \sqrt{-9q}\newlineq=q = _____

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Full solution

Q. Solve for qq.\newline6−6q=−9q\sqrt{6 - 6q} = \sqrt{-9q}\newlineq=q = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(6−6q)2=(−9q)2(\sqrt{6 - 6q})^2 = (\sqrt{-9q})^2\newline6−6q=−9q6 - 6q = -9q
  2. Add qq terms: Add 9q9q to both sides of the equation to get all the qq terms on one side.\newline6−6q+9q=−9q+9q6 - 6q + 9q = -9q + 9q\newline6+3q=06 + 3q = 0
  3. Subtract to isolate qq: Subtract 66 from both sides of the equation to isolate the qq term.\newline6+3q−6=0−66 + 3q - 6 = 0 - 6\newline3q=−63q = -6
  4. Divide to solve for q: Divide both sides of the equation by 33 to solve for q.\newline3q3=−63\frac{3q}{3} = \frac{-6}{3}\newlineq=−2q = -2

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