Explanation

To find the solution set of 2x² + 2x - 11 = 1:

First, subtract 1 from both sides:

2x² + 2x - 12 = 0

Now, divide by 2:

x² + x - 6 = 0

Factor the quadratic:

(x + 3)(x - 2) = 0

This gives us two possible solutions:

x + 3 = 0 --> x = -3

x - 2 = 0 --> x = 2

So, the solution set is:

(-3, 2)