-7x-60=x^2+10x Or x^2+10x=-7x-60 Add 7x to each side x^2+10x+7x=-7x-60+7x x^2+17x=-60 Add 60 to each side x^2+17x+60=-60+60 x^2+17x+60=0 Next, we need to factor this base on: ax^2+bx+x To ax^2+mx+nx To be able to find m and n, we need to know two numbers that multiply together to get 60 and add together to get 17 which is 12 and 5, so m=12, and n=5 ax^2+mx+nx x^2+12x+5x+60 Factor this: x(x+12)+5(x+12) (x+5)(x+12) Then, If x+5=0 x=-5
If x+12=0 x=-12. As a result, the solutions are -5 and -12. Hope it help!