Question

What is the solution set of (x - 2)(x - 3) = 2?

Answer 1

To simplify the other user's answer, it's Option A) {1,4}.

Answer 2

To solve for x, multiply out the left side, set the equation equal to zero, then solve the quadratic equation using factoring or quadratic formula.
$(x - 2)(x - 3) = 2 \\ x^2 -2x -3x +6 = 2 \\ x^2-5x +4 = 0 \\ (x-4)(x-1)=0 \\ x = 4, \\x = 1$