To solve the equation \( t^2 - 36 = 0 \), we can first add 36 to both sides:
\[ t^2 = 36 \]
Now, we take the square root of both sides. Remember that taking the square root gives us both the positive and negative solutions:
\[ t = \sqrt{36} \quad \text{or} \quad t = -\sqrt{36} \]
Calculating the square root:
\[ t = 6 \quad \text{or} \quad t = -6 \]
Therefore, the solutions for \( t \) are:
\[ t = 6 \quad \text{or} \quad t = -6 \]