Solve for x:
2 x^2 + x - 6 = 4 x^2 - 4 x - 3
Subtract 4 x^2 - 4 x - 3 from both sides:
-2 x^2 + 5 x - 3 = 0
The left hand side factors into a product with three terms:
-(x - 1) (2 x - 3) = 0
Multiply both sides by -1:
(x - 1) (2 x - 3) = 0
Split into two equations:
x - 1 = 0 or 2 x - 3 = 0
Add 1 to both sides:
x = 1 or 2 x - 3 = 0
Add 3 to both sides:
x = 1 or 2 x = 3
Divide both sides by 2:
Answer: | x = 1 or x = 3/2
