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Solve for mm.\newline2m=2m+8\sqrt{2m} = \sqrt{-2m + 8}\newlinem=m = _____

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Q. Solve for mm.\newline2m=2m+8\sqrt{2m} = \sqrt{-2m + 8}\newlinem=m = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(2m)2=(2m+8)2(\sqrt{2m})^2 = (\sqrt{\text{–}2m + 8})^2\newline2m=2m+82m = \text{–}2m + 8
  2. Add mm terms: Add 2m2m to both sides of the equation to bring all the mm terms to one side.\newline2m+2m=2m+2m+82m + 2m = -2m + 2m + 8\newline4m=84m = 8
  3. Divide by 44: Divide both sides of the equation by 44 to solve for mm.4m4=84\frac{4m}{4} = \frac{8}{4}m=2m = 2

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