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\frac{\frac{1}{4}\sqrt{x+1}}{\frac{1}{4}}=\frac{2}{\frac{1}{4}}
Multiply both sides by 4.
\sqrt{x+1}=\frac{2}{\frac{1}{4}}
Dividing by \frac{1}{4} undoes the multiplication by \frac{1}{4}.
\sqrt{x+1}=8
Divide 2 by \frac{1}{4} by multiplying 2 by the reciprocal of \frac{1}{4}.
x+1=64
Square both sides of the equation.
x+1-1=64-1
Subtract 1 from both sides of the equation.
x=64-1
Subtracting 1 from itself leaves 0.
x=63
Subtract 1 from 64.