2i(2-4i)=

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

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

Solving
4i + -8i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '4i'.
4i(1 + -2i) = 0

Ignore the factor 4.
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 + -2i)' equal to zero and attempt to solve:

Simplifying
1 + -2i = 0

Solving
1 + -2i = 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 + -2i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2i = 0 + -1
-2i = 0 + -1

Combine like terms: 0 + -1 = -1
-2i = -1

Divide each side by '-2'.
i = 0.5

Simplifying
i = 0.5
Solution
i = {0, 0.5}