What are the solutions of the quadratic equation

X2+11x=-28

X² + 11x = - 28

to find the solution of this polynomial, it'll be easiest to try and factor it. the first thing you need to do is move everything to one side:

x² + 11x = - 28 ... add 28

x² + 11x + 28 = 0 ... factor

(x + 7) (x + 4) = 0 ... now set both of your factors equal to zero and solve for x

x + 7 = 0

x = - 7

x + 4 = 0

x = - 4