How would you find values of m for question 'b'?

This is known as quadratic algebra.

To find it, you can use the quadratic formula but that might take a while.

We can factor it out and get

-3(mx² + mx - 1)

We can then set mx² + mx = 1

It would have no solutions

Edit: Above is wrong!  I made the mistake of factoring 3 when it cant be factored.  

Here is the solution

mx²-3mx=-3

Divide both by -3

mx²+mx=1

And I really messed this up.  Its been a long time since quad.  Sorry, but I cant seem to get the answer.  Try and look up the quadratic formula and see if you can use that