Solve for x:
4 x^2+18 x+8 = 0
The left hand side factors into a product with three terms:
2 (x+4) (2 x+1) = 0
Divide both sides by 2:
(x+4) (2 x+1) = 0
Split into two equations:
x+4 = 0 or 2 x+1 = 0
Subtract 4 from both sides:
x = -4 or 2 x+1 = 0
Subtract 1 from both sides:
x = -4 or 2 x = -1
Divide both sides by 2:
Answer: | x = -4 or x = -1/2