Question

I need help please!
Solve the following equation by identifying all of its roots including all real and complex numbers. In your final answer, include the necessary steps and calculations. Hint: Use your knowledge of factoring polynomials.

(x2+1)(x3+2x)(x2-64)=0

Answer 1

x^2 + 1 = 0
x^2 = -1
x = 
x = i
:
(x^3 + 2x) = 0
Factor out x
x(x^2 + 2) = 0
x = 0

Answer 2

x^2 + 1= 0
x^2= -1
x=i, -i

(x^3 + 2x)= 0
x(x^2 + 2= 0
x= 0, i​√2, -i√2

(x^2-64)=0
(x+8)(x-8)=0
x= 8,-8

x=i, -i​, 0, i​√2, -i√2​, 8,-8​