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Solve for cc.\newline7c=(6c+5)\sqrt{7c} = \sqrt{(6c + 5)}\newlinec=c = _____

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Full solution

Q. Solve for cc.\newline7c=(6c+5)\sqrt{7c} = \sqrt{(6c + 5)}\newlinec=c = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(7c)2=(6c+5)2(\sqrt{7c})^2 = (\sqrt{6c + 5})^2\newline7c=6c+57c = 6c + 5
  2. Subtract to isolate cc: Subtract 6c6c from both sides to isolate cc on one side of the equation.\newline7c−6c=6c+5−6c7c - 6c = 6c + 5 - 6c\newlinec=5c = 5

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