4i(6+2i)=

Solution for 4i(6+2i)= equation:

Simplifying
4i(6 + 2i) = 0
(6 * 4i + 2i * 4i) = 0
(24i + 8i2) = 0

Solving
24i + 8i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '8i'.
8i(3 + i) = 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 '(3 + i)' equal to zero and attempt to solve:

Simplifying
3 + i = 0

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

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

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

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