4i(-2-8i)=

Solution for 4i(-2-8i)= equation:

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

Solving
-8i + -32i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '-8i'.
-8i(1 + 4i) = 0

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

Simplifying
i = 0

Solving
i = 0

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

Simplifying
i = 0
Subproblem 2
Set the factor '(1 + 4i)' equal to zero and attempt to solve:

Simplifying
1 + 4i = 0

Solving
1 + 4i = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4i = 0 + -1
4i = 0 + -1

Combine like terms: 0 + -1 = -1
4i = -1

Divide each side by '4'.
i = -0.25

Simplifying
i = -0.25
Solution
i = {0, -0.25}