Intermediate Algebra: Connecting Concepts through Application

$3t^2-7t-5=5$ Get everything on one side of the equation equaling 0 $3t^2-7t-10=0$ Factor (3t-10)(t+1)=0 Set all factors equal to 0 3t-10=0 t+1=0 Isolate the variable to solve t=10/3, t=-1