Usually the easiest way to find the root of a quadratic is to factorise it so you have something a form similar to - (x+2)(x-1)=0.
From here you need to find a value for x that makes each bracket equal to zero. Here we can see our answers are x = 1 and x = -2.
If the equation cannot be factorised our backup method that is slightly more complicated but always correct is to use the quadratic equation.
This is given as x = (-b ± (b2-4ac)1/2)/2a,
Where a, b and c come from your original quadratic as ax2+bx+c.