192 = -16 t^2 + 48t + 160

192 = -16 t^2 + 48t + 160

Let's move everything over to the left side......we get

16t^2 - 48t + 32 = 0     Factoring out the "16," we have

16 (t^2 - 3t + 2) = 0     Dividing by 16 on both sides

(t^2 - 3t + 2) = 0          Factoring, we get

(t -2) (t -1) = 0              And setting each factor to 0, we have

t = 2  and t = 1

192 = -16t²+48t+160 Subtract 192 from both sides

0 = -16t²+48t-32  Multiply through by -1

0 = 16t^2-48t+32  Divide through by 16

0 = t²-3t+2  Factor

0 = (t-1)*(t-2)

So there are two solutions:  t = 1 and t = 2

Chris beat me to it!