Take the square root of both sides.
\[x-3=\pm \sqrt{529}\]
Since \(23\times 23=529\), the square root of \(529\) is \(23\).
\[x-3=\pm 23\]
Break down the problem into these 2 equations.
\[x-3=23\]
\[x-3=-23\]
Solve the 1st equation: \(x-3=23\).
Add \(3\) to both sides.
\[x=23+3\]
Simplify \(23+3\) to \(26\).
\[x=26\]
\[x=26\]
Solve the 2nd equation: \(x-3=-23\).
Add \(3\) to both sides.
\[x=-23+3\]
Simplify \(-23+3\) to \(-20\).
\[x=-20\]
\[x=-20\]
Collect all solutions.
\[x=26,-20\]
x=26,-20
