Solve for x:
2 x^2 = x+1
Subtract x+1 from both sides:
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
Add 1 to both sides:
x = 1 or 2 x+1 = 0
Subtract 1 from both sides:
x = 1 or 2 x = -1
Divide both sides by 2:
Answer: |x = 1 or x = -1/2
