## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$t=\left\{ 0,3 \right\}$
Factoring the given equation, $3t-t^2=0 ,$ results to \begin{array}{l}\require{cancel} t(3-t)=0 .\end{array} Equating each factor to zero (Zero Product Principle), then the solutions to the equation, $t(3-t)=0 ,$ are \begin{array}{l}\require{cancel} t=0 ,\\\\\text{OR}\\\\ 3-t=0 \\\\ -t=-3 \\\\ t=3 .\end{array} Hence, $t=\left\{ 0,3 \right\} .$