Solve for x over the real numbers:
6 (2 x^2 + x - 1) = 0
Divide both sides by 6:
2 x^2 + x - 1 = 0
The left hand side factors into a product with two terms:
(x + 1) (2 x - 1) = 0
Split into two equations:
x + 1 = 0 or 2 x - 1 = 0
Subtract 1 from both sides:
x = -1 or 2 x - 1 = 0
Add 1 to both sides:
x = -1 or 2 x = 1
Divide both sides by 2:
Answer: x = -1 or x = 1/2
