To solve the equation \((t - 6)(t - 1) = 0\), we will set each factor equal to zero:
- \(t - 6 = 0\)
- \(t - 1 = 0\)
Now, solve each equation:
-
For \(t - 6 = 0\): \[ t = 6 \]
-
For \(t - 1 = 0\): \[ t = 1 \]
Thus, the solutions are: \[ t = 6 \quad \text{or} \quad t = 1 \]
So the final answer is: \[ t = 6 \quad \text{or} \quad t = 1 \]