i(8+2i)=0

Solution for i(8+2i)=0 equation:

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

Solving
8i + 2i2 = 0

Solving for variable 'i'.

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

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

Simplifying
4 + i = 0

Solving
4 + i = 0

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

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

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

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

Simplifying
i = -4
Solution
i = {0, -4}