Answer:
a = -2/3 or a = -1/4
Explanation:
Solve for a over the real numbers:
12 a^2 + 11 a + 2 = 0
The left hand side factors into a product with two terms:
(3 a + 2) (4 a + 1) = 0
Split into two equations:
3 a + 2 = 0 or 4 a + 1 = 0
Subtract 2 from both sides:
3 a = -2 or 4 a + 1 = 0
Divide both sides by 3:
a = -2/3 or 4 a + 1 = 0
Subtract 1 from both sides:
a = -2/3 or 4 a = -1
Divide both sides by 4:
Answer: a = -2/3 or a = -1/4