To solve the equation \(x^2 + 4 = 53\), follow these steps in order:

1. **Subtract 4 from both sides**:
\[x^2 = 53 - 4\]
\[x^2 = 49\]

2. **Take the square root of both sides**:
\[x = \pm \sqrt{49}\]
\[x = \pm 7\]

Therefore, the solutions for the equation are \(x = 7\) and \(x = -7\). 🎉

Final answer: \(x = 7\) or \(x = -7\)