1. To solve this exercise, we must pass the -11x from the right member to the left member and equaling to zero, as shown below:
x^2+24+11x=0
2. We order the polynomial:
x^2+11x+24=0
3. We can find the roots of the equation by factoring it or by the resolver:
(-b ± √ (b^2-4ac))/2a
4. If we factor the quadratic equation, we have:
(x+8)(x+3)
The roots of the equation are:
x1 = -8
x2 = -3