The equation you provided is:
7 + √(-36 - 5x) * 5 = 250
Let's start by isolating the square root term by subtracting 7 from both sides:
√(-36 - 5x) * 5 = 243
Now we can isolate the square root term by dividing both sides by 5:
√(-36 - 5x) = 243/5
Squaring both sides, we get:
-36 - 5x = (243/5)^2
Simplifying the right side, we get:
-36 - 5x = 11808/25
Adding 36 to both sides, we get:
-5x = 11808/25 + 36
Simplifying the right side, we get:
-5x = 11808/25 + 900/25
Combining the fractions on the right side, we get:
-5x = 12708/25
Dividing both sides by -5, we get:
x = -12708/125
So the value of x that solves the equation is x = -101.664.
Good luck!