Solve for x:
6 x+50 = x^2+10
Subtract x^2+10 from both sides:
-x^2+6 x+40 = 0
The left hand side factors into a product with three terms:
-(x-10) (x+4) = 0
Multiply both sides by -1:
(x-10) (x+4) = 0
Split into two equations:
x-10 = 0 or x+4 = 0
Add 10 to both sides:
x = 10 or x+4 = 0
Subtract 4 from both sides:
Answer: |x = 10 or x = -4