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s+7=6+4s\sqrt{s}+7=6+4\sqrt{s}

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Full solution

Q. s+7=6+4s\sqrt{s}+7=6+4\sqrt{s}
  1. Subtract and Simplify: Subtract s\sqrt{s} from both sides: \newlines+7−s=6+4s−s \sqrt{s} + 7 - \sqrt{s} = 6 + 4\sqrt{s} - \sqrt{s} \newline7=6+3s 7 = 6 + 3\sqrt{s}
  2. Subtract 66: Subtract 66 from both sides:\newline7−6=6+3s−6 7 - 6 = 6 + 3\sqrt{s} - 6 \newline1=3s 1 = 3\sqrt{s}
  3. Divide by 33: Divide both sides by 33:\newline13=s \frac{1}{3} = \sqrt{s}
  4. Square to Solve: Square both sides to solve for ss:\newline(13)2=(s)2 \left(\frac{1}{3}\right)^2 = (\sqrt{s})^2 \newline19=s \frac{1}{9} = s

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