Take the square root of both sides.
\[x+4=\pm \sqrt{169}\]
Since \(13\times 13=169\), the square root of \(169\) is \(13\).
\[x+4=\pm 13\]
Break down the problem into these 2 equations.
\[x+4=13\]
\[x+4=-13\]
Solve the 1st equation: \(x+4=13\).
Subtract \(4\) from both sides.
\[x=13-4\]
Simplify \(13-4\) to \(9\).
\[x=9\]
\[x=9\]
Solve the 2nd equation: \(x+4=-13\).
Subtract \(4\) from both sides.
\[x=-13-4\]
Simplify \(-13-4\) to \(-17\).
\[x=-17\]
\[x=-17\]
Collect all solutions.
\[x=9,-17\]
x=9,-17
