Answer:
x = 3/2 or x = -3/2
Explanation:
Solve for x over the real numbers:
4 x^2 - 9 = 0
The left hand side factors into a product with two terms:
(2 x - 3) (2 x + 3) = 0
Split into two equations:
2 x - 3 = 0 or 2 x + 3 = 0
Add 3 to both sides:
2 x = 3 or 2 x + 3 = 0
Divide both sides by 2:
x = 3/2 or 2 x + 3 = 0
Subtract 3 from both sides:
x = 3/2 or 2 x = -3
Divide both sides by 2:
Answer: x = 3/2 or x = -3/2