Solve for x:
x^2/4+(5 x)/4+1 = 0
The left hand side factors into a product with three terms:
1/4 (x+1) (x+4) = 0
Multiply both sides by 4:
(x+1) (x+4) = 0
Split into two equations:
x+1 = 0 or x+4 = 0
Subtract 1 from both sides:
x = -1 or x+4 = 0
Subtract 4 from both sides:
Answer: |
| x = -1 or x = -4