Solve for x:
x^2+8x+18 = -6-6x
Add 6x+6 to both sides:
x^2+14x+24 = 0
The left hand side factors into a product with two terms:
(x+2) (x+12) = 0
Split into two equations:
x+2 = 0 or x+12 = 0
Subtract 2 from both sides:
x = -2 or x+12 = 0
Subtract 12 from both sides:
Answer: | x = -2 or x = -12 and y=6 or y=66