Hello!
Here we can use the quad formula to solve for the x values or roots.
[tex]x=(-2+or - \sqrt{2^2-4*2*-6})/2*2 [/tex] = -2 and 3/2
The negative root for this equation is x=-2
We find the roots of an equation by solving for x by different ways, most common ones being the quadratic formula of x= [-b +/-sqrt(b^2-4ac)]/2a or factoring and setting equal to zero and solving for x value(s) that way. Also the roots are where the graph of the equation crosses the x-axis.
Hope this helps. Any questions please just ask. Thank you kindly