We can start by expanding the equation** (2x + 7)(x - 5) = -43 + jx ---> 2x^2 - (j+3)x + 8 = 0.**

Now we know that when the discriminant** (b^2 - 4ac)** is equal to 0, we have one real solution.

So we plug in our values and we get **j^2 + 6j - 55 = 0.**

Solving this gives us** j = -11, 5**