Solve for x, where x > 0 and -21x^2 -11x + 40 = -x^2 - 23x + 41. Express your answer as a simplified common fraction.
-21x^2 -11x + 40 = -x^2 - 23x + 41 rearrange as
20x^2 - 12x + 1 = 0 factor as
(10x - 1) (2x - 1) = 0
Setting each factor to 0 and solving for x gives
x = 1/10 or x = 1/2
