What are the solutions of –7x – 60 = x2 + 10x?

-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!

The linear equation is: y=ax+b