Answer
-1, 4
Work Step by Step
For cross multiplication, we know:
$$\frac{a}{d} =\frac{b}{c} \rightarrow ac=bd$$
Thus, we find:
$$1\cdot \left(11x+8\right)=\left(2x+5\right)x \\ 2x^2 -6x-8 = 0 \\ x=-1,4$$
Checking our solution by plugging the given value back into the equation, we assure that the solution checks out.