Answer:
x = -1 or x = -1/2
Explanation:
Solve for x:
2 x^3 + 5 x^2 + 4 x + 1 = 0
The left-hand side factors into a product with two terms:
(x + 1)^2 (2 x + 1) = 0
Split into two equations:
(x + 1)^2 = 0 or 2 x + 1 = 0
Take the square root of both sides:
x + 1 = 0 or 2 x + 1 = 0
Subtract 1 from both sides:
x = -1 or 2 x + 1 = 0
Subtract 1 from both sides:
x = -1 or 2 x = -1
Divide both sides by 2:
Answer: x = -1 or x = -1/2