.
Your starting equation is
x^4 - 15x^2-16 = 0
It is so called biquadratic equation. To solve it, factor left side
(x^2 - 16)*(x^2 + 1) = 0.
In real domain, it gives two solutions x= 4 and x= -4.
In complex numbers, there are 4 possible solutions: x= 4, x= -4, x= i =
and x= -i =
.
Solved.