Solve the following equation by identifying all of its roots including any imaginary numbers. in your final answer, include the necessary steps and calculations. hint: use your knowledge of factoring polynomials. (x 2 + 1)(x 3 + 2x)(x 2 + 4x - 16i - 4xi) = 0

Step-by-step explanation:

The given equation is

According to zero product of property, if ab=0, then either a=0 or b=0.

Using zero product property we get

Case 1:

Taking square root on both sides.

Case 2:

and

Case 3:

Therefore, the roots of given equation are .

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3