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Solve for bb.\newline10b=8b+4\sqrt{10b} = \sqrt{8b + 4}\newlineb=b = _____

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Q. Solve for bb.\newline10b=8b+4\sqrt{10b} = \sqrt{8b + 4}\newlineb=b = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(10b)2=(8b+4)2(\sqrt{10b})^2 = (\sqrt{8b + 4})^2\newline10b=8b+410b = 8b + 4
  2. Subtract to isolate variable: Subtract 8b8b from both sides to isolate the variable term on one side.\newline10b8b=8b+48b10b - 8b = 8b + 4 - 8b\newline2b=42b = 4
  3. Divide to solve for b: Divide both sides by 22 to solve for bb.2b2=42\frac{2b}{2} = \frac{4}{2}b=2b = 2

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