5i(6-2i)=

Solution for 5i(6-2i)= equation:

Simplifying
5i(6 + -2i) = 0
(6 * 5i + -2i * 5i) = 0
(30i + -10i2) = 0

Solving
30i + -10i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '10i'.
10i(3 + -1i) = 0

Ignore the factor 10.
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 + -1i)' equal to zero and attempt to solve:

Simplifying
3 + -1i = 0

Solving
3 + -1i = 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 + -1i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1i = 0 + -3
-1i = 0 + -3

Combine like terms: 0 + -3 = -3
-1i = -3

Divide each side by '-1'.
i = 3

Simplifying
i = 3
Solution
i = {0, 3}