How to solve this cubic equation?

[danielp3]

Summary: Cubic equation

How to solve for t ?

 

[Svein]

.

 

[SammyS]

( Poster has been reminded to post school work-type questions in the Homework Help forums, and to show some work on the problem. )
Summary: Cubic equation

How to solve for t ?

View attachment 252728

While we wait for you to show some effort at solving this problem, let me make a point.
That is not an equation. That's an inequality.

 

[PAllen]

Following on the last hint, suppose the cubic were factored, equivalent to root finding. How would you tell what ranges of t then produced nonnegative values?