Answer
$$t=\frac{1}{2},\:t=-6$$
Work Step by Step
A rational expression is undefined when the denominator is equal to zero. Thus, we set the denominator equal to zero to find:
$$ 2t^2+11t-6=0 \\ t\left(2t-1\right)+6\left(2t-1\right)=0 \\ \left(2t-1\right)\left(t+6\right)=0 \\ t=\frac{1}{2},\:t=-6$$