I'm going to interpret the request to "solve" the equations as "find the roots".
For quadratic equations, we can plug the coefficients into the well known forumula
w(t) is a quadratic equation, with coefficients -3, 0, and 5. The roots are 1.29 and -1.29
For the second part, I guess you can substitute (-2-t) in for the t parameter in the equation.
So, you'd have:
This is also a quadratic equation, with coefficients -3, -12, and -7. So you can solve for the roots, though we're not asked to do this. The roots are:
-3.29 and -0.71 (rounding)