Final answer:
Substituting the given values into the equation, the value of u is 8.
Step-by-step explanation:
Given the equation h = (c^2 + u) / (2 - c) and the values c = 4 and h = -12, we can substitute these values into the equation to find the value of u.
Substituting c = 4 and h = -12 into the equation, we have:
-12 = (4^2 + u) / (2 - 4)
-12 = (16 + u) / (-2)
To solve for u, we can multiply both sides of the equation by -2:
-12 * -2 = 16 + u
24 = 16 + u
Finally, we can subtract 16 from both sides to isolate u:
u = 24 - 16
u = 8