## Intermediate Algebra: Connecting Concepts through Application

$\color{blue}{\left\{0, 1\right\}}$
Factor out $4t$: $$4t(t-1)=0$$ Use the Zero-Product Property by equating each factor to zero. Then, solve each equation to obtain: \begin{align*} 4t&=0 &\text{or}& &t-1=0\\ t&=0 &\text{or}& &t=1\\ \end{align*} Therefore, the solution set is $\color{blue}{\left\{0, 1\right\}}$.