Finding the intersect point between between a parabola and a straight line $x^2 −2x = \frac{1}{2}x+1$ 

So I have a graph with having both of these equations and put the equations as one. I realize I have to turn this into $x^2-2.5x-1=0$ and then I have to factorize it but how does something times into $1$ and adds into $-2.5$
There is a quadratic formula that lets you use the coefficients in a 2nd degree polynomial to find the variable. Let ax^2+bx+c=0

x= -b + or - root of b^2 - 4 a c 
divided by 2a.

Excuse the form, I'm not very familiar with formatting on this website.
You have to use the quadratic formula:

$$\frac{2.5\pm\sqrt{10.25}}{2}.$$