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Solve for bb.\newline −9b=( −7b+2)\sqrt{\,-9b} = \sqrt{(\,-7b + 2)}\newlineb= ____b = \,\_\_\_\_

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Full solution

Q. Solve for bb.\newline −9b=( −7b+2)\sqrt{\,-9b} = \sqrt{(\,-7b + 2)}\newlineb= ____b = \,\_\_\_\_
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(−9b)2=(−7b+2)2(\sqrt{-9b})^2 = (\sqrt{-7b + 2})^2\newline−9b=−7b+2-9b = -7b + 2
  2. Add bb terms: Add 7b7b to both sides to get all the bb terms on one side.\newline−9b+7b=−7b+7b+2-9b + 7b = -7b + 7b + 2\newline−2b=2-2b = 2
  3. Divide by −2-2: Divide both sides by extendash22 to solve for bb. \newline−2b−2=2−2\frac{-2b}{-2} = \frac{2}{-2}\newlineb=−1b = -1

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