To solve the system of equations, we need to find the values of x that satisfy both equations f(x) = 2x^2 - 3x - 10 and g(x) = x + 20.
Setting the two equations equal to each other, we get:
2x^2 - 3x - 10 = x + 20
Simplifying and rearranging, we get:
2x^2 - 4x - 30 = 0
Dividing both sides by 2, we get:
x^2 - 2x - 15 = 0
Factoring the left-hand side, we get:
(x - 5)(x + 3) = 0
Therefore, the solutions to the system of equations are x = 5 and x = -3.
One x-value of a solution is x = -3. So the answer is (b) x = -3.