What is the equilibrium partial pressure of C?

Question

An empty steel vessel is charged with 0.330 atm of C and 0.330 atm of A. Once the system reaches equilibrium according to the reaction below, what is the equilibrium partial pressure of C? Kp for this reaction is 11.2. A (g) ⇌ B (g) + C (g)

Answer 1

Let x be the B produced by the reaction

A_eq = .330 -x

B_eq = x

C_eq = .330 + x

The K expression is P_CP_B/P_A = 11.2 at equilibrium

Solve for x in the quadratic expression (.33+x)(x)/(.33-x) = 11.2 (Use quadratic formula for x (one value will be impossible). Then solve for P_C