Answer:
x = 1/3 or x = 3/4
Explanation:
Solve for x:
12 x^2 - 13 x + 3 = 0
The left hand side factors into a product with two terms:
(3 x - 1) (4 x - 3) = 0
Split into two equations:
3 x - 1 = 0 or 4 x - 3 = 0
Add 1 to both sides:
3 x = 1 or 4 x - 3 = 0
Divide both sides by 3:
x = 1/3 or 4 x - 3 = 0
Add 3 to both sides:
x = 1/3 or 4 x = 3
Divide both sides by 4:
Answer: x = 1/3 or x = 3/4