The correct answer is either $2$ or $-12$. The left-hand side of the given equation can be rewritten by factoring. The two values that multiply to $-24$ and add to $10$ are $12$ and $-2$. It follows that the given equation can be rewritten as $(z + 12)(z - 2) = 0$. Setting each factor equal to 0 yields two equations: $z + 12 = 0$ and $z - 2 = 0$. Subtracting $12$ from both sides of the equation $z + 12 = 0$ results in $z = -12$. Adding $2$ to both sides of the equation $z - 2 = 0$ results in $z = 2$. Note that $2$ and $-12$ are examples of ways to enter a correct answer.