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Solve for mm.\newline(3m+4)=m\sqrt{(-3m + 4)} = \sqrt{m}\newlinem=m = _____

Full solution

Q. Solve for mm.\newline(3m+4)=m\sqrt{(-3m + 4)} = \sqrt{m}\newlinem=m = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(3m+4)2=(m)2(\sqrt{-3m + 4})^2 = (\sqrt{m})^2\newline3m+4=m-3m + 4 = m
  2. Move terms involving mm: Move all terms involving mm to one side of the equation.3mm=4–3m - m = -4Combine like terms.4m=4–4m = -4
  3. Combine like terms: Divide both sides by 4-4 to solve for mm.m=44m = \frac{-4}{-4}m=1m = 1

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