Answer:
-4+4i and -4-4i
Explanation:
To start off, we can distribute the x into the x+8 to get x^2 + 8x = -20. From here we can create a polynomial by moving the -20 to the other side by adding 20 to both sides to get x^2 + 8x +20 =0. From here we can check if there is any real solutions by finding the discriminant (the sqrt part of the quadratic formula) so 8^2-4(1)(20). 16-80. Because this gets us a negative number in an actual square root, there answers we would get would be imaginary.
However to solve what the roots are, we would plug the entire equation into the quadratic equation. Getting -8+- sqrt(-64)/2 which simplified is -4+-4i. Therefore our two answers are -4+4i and -4-4i