Final answer:
To solve for x in the equation (-2x+1)/(x^2-x+2)^2, we can simplify the equation and solve for x, resulting in x = 1/2.
Step-by-step explanation:
To solve for x in the equation (-2x+1)/(x^2-x+2)^2, we can simplify the equation as follows:
(-2x+1)/(x^2-x+2)^2 = 0
Next, we can rearrange the equation and solve for x:
(-2x+1) = 0
-2x = -1
x = -1/-2
x = 1/2
Therefore, the solution is x = 1/2.