Please explain in detail how to solve this problem:

h = -16t^2 + 156t + 105

If h = -16t^2 + 156t + 105 = 0

then

In google type:

quadratic equation online

When you see list of results click on:

Free Online Quadratic Equation Solver:Solve by Quadratic Formula

When page be open in rectangle type:

16t^2 + 156t + 105 = 0

and click option: solve it!

You wil see solution step-by-step