(2i)(6-8i)=

Solution for (2i)(6-8i)= equation:

Simplifying
(2i)(6 + -8i) = 0

Remove parenthesis around (2i)
2i(6 + -8i) = 0
(6 * 2i + -8i * 2i) = 0
(12i + -16i2) = 0

Solving
12i + -16i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '4i'.
4i(3 + -4i) = 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 '(3 + -4i)' equal to zero and attempt to solve:

Simplifying
3 + -4i = 0

Solving
3 + -4i = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4i = 0 + -3
-4i = 0 + -3

Combine like terms: 0 + -3 = -3
-4i = -3

Divide each side by '-4'.
i = 0.75

Simplifying
i = 0.75
Solution
i = {0, 0.75}