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Solve for qq.\newline7+8q=9q\sqrt{7 + 8q} = \sqrt{9q}\newlineq=q = _____

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Full solution

Q. Solve for qq.\newline7+8q=9q\sqrt{7 + 8q} = \sqrt{9q}\newlineq=q = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(7+8q)2=(9q)2(\sqrt{7 + 8q})^2 = (\sqrt{9q})^2\newline7+8q=9q7 + 8q = 9q
  2. Subtract q terms: Subtract 8q8q from both sides to get all q terms on one side and constants on the other.\newline7+8q−8q=9q−8q7 + 8q - 8q = 9q - 8q\newline7=q7 = q

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