Solve the equation for all real solutions

12a^2+11a+2=0

The answer it - 1/4 because u have to do the math

a = - 2/3 or a = - 1/4

Step-by-step 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