Answer:
x = -1 or x = -y
Explanation:
Solve for x:
(x + 1) (x^2 + 2 x y + y^2) = 0
Split into two equations:
x + 1 = 0 or x^2 + 2 x y + y^2 = 0
Subtract 1 from both sides:
x = -1 or x^2 + 2 x y + y^2 = 0
Write the left hand side as a square:
x = -1 or (x + y)^2 = 0
Take the square root of both sides:
x = -1 or x + y = 0
Subtract y from both sides:
Answer: x = -1 or x = -y