(-2i)(2i)(8-2i)=

Solution for (-2i)(2i)(8-2i)= equation:

Simplifying
(-2i)(2i)(8 + -2i) = 0

Remove parenthesis around (-2i)
-2i(2i)(8 + -2i) = 0

Remove parenthesis around (2i)
-2i * 2i(8 + -2i) = 0

Reorder the terms for easier multiplication:
-2 * 2i * i(8 + -2i) = 0

Multiply -2 * 2
-4i * i(8 + -2i) = 0

Multiply i * i
-4i2(8 + -2i) = 0
(8 * -4i2 + -2i * -4i2) = 0
(-32i2 + 8i3) = 0

Solving
-32i2 + 8i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '8i2'.
8i2(-4 + i) = 0

Ignore the factor 8.
Subproblem 1
Set the factor 'i2' equal to zero and attempt to solve:

Simplifying
i2 = 0

Solving
i2 = 0

Move all terms containing i to the left, all other terms to the right.

Simplifying
i2 = 0

Take the square root of each side:
i = {0}
Subproblem 2
Set the factor '(-4 + i)' equal to zero and attempt to solve:

Simplifying
-4 + i = 0

Solving
-4 + i = 0

Move all terms containing i to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + i = 0 + 4

Combine like terms: -4 + 4 = 0
0 + i = 0 + 4
i = 0 + 4

Combine like terms: 0 + 4 = 4
i = 4

Simplifying
i = 4
Solution
i = {0, 4}