Solve for x:
sqrt(37-9 x)+x = 5
Subtract x from both sides:
sqrt(37-9 x) = 5-x
Raise both sides to the power of two:
37-9 x = (5-x)^2
Expand out terms of the right hand side:
37-9 x = x^2-10 x+25
Subtract x^2-10 x+25 from both sides:
-x^2+x+12 = 0
The left hand side factors into a product with three terms:
-(x-4) (x+3) = 0
Multiply both sides by -1:
(x-4) (x+3) = 0
Split into two equations:
x-4 = 0 or x+3 = 0
Add 4 to both sides:
x = 4 or x+3 = 0
Subtract 3 from both sides:
Answer: |x = 4 or x = -3
