(2+2i)(8i)=

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


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

Remove parenthesis around (8i)
(2 + 2i) * 8i = 0

Reorder the terms for easier multiplication:
8i(2 + 2i) = 0
(2 * 8i + 2i * 8i) = 0
(16i + 16i2) = 0

Solving
16i + 16i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '16i'.
16i(1 + i) = 0

Ignore the factor 16.

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 + i)' equal to zero and attempt to solve:

Simplifying
1 + i = 0

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

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

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

Simplifying
i = -1
Solution
i = {0, -1}

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