Answer:
x = 3 or x = -1/2
Explanation:
Solve for x:
2 x^2 - 5 x - 3 = 0
The left hand side factors into a product with two terms:
(x - 3) (2 x + 1) = 0
Split into two equations:
x - 3 = 0 or 2 x + 1 = 0
Add 3 to both sides:
x = 3 or 2 x + 1 = 0
Subtract 1 from both sides:
x = 3 or 2 x = -1
Divide both sides by 2:
Answer: x = 3 or x = -1/2