Answer:
x = -3 or x = -6
Step-by-step explanation:
Solve for x over the real numbers:
3 x^2 + 27 x + 54 = 0
The left hand side factors into a product with three terms:
3 (x + 3) (x + 6) = 0
Divide both sides by 3:
(x + 3) (x + 6) = 0
Split into two equations:
x + 3 = 0 or x + 6 = 0
Subtract 3 from both sides:
x = -3 or x + 6 = 0
Subtract 6 from both sides:
Answer: x = -3 or x = -6
