Hello from MrBillDoesMath!
Answer: x = -1, 12
Discussion:
I will assume the problem means to solve for x in
11/(3x) - 1/3 = -4/ (x^2)
Multiply both sides by 3
11/x - 1 = (-4 *3)/ x^2
Multiple both sides by x^2
(11/x) * x^2 - x^2 = ((-12)/ x^2) * x^2 or
11x - x^2 = -12. Rearrange to get
x^2 - 11x - 12 = 0. Factor this equation:
(x-12) (x +1) = 0
so the roots are x = -1, 12
Thank you,
MrB
