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75=\sqrt{x+1}
Multiply 25 and 3 to get 75.
\sqrt{x+1}=75
Swap sides so that all variable terms are on the left hand side.
x+1=5625
Square both sides of the equation.
x+1-1=5625-1
Subtract 1 from both sides of the equation.
x=5625-1
Subtracting 1 from itself leaves 0.
x=5624
Subtract 1 from 5625.