x^2-8x+7=0 is a quadratic formula. You can solve by using the quadratic formula or by simply factoring. When you can factor that is the easiest and fastest way. here we have (x-1)(x-7)=0 then we set each equal to aero like this; x-1=0 and x-7=0 and solve for x! Here we can say x=1 and x=7 or x=1,7 Hope this helped! Please rate my answer if I helped you! Thank you so much!