(4i)(-8+8i)=

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Solution for (4i)(-8+8i)= equation: 


Simplifying
(4i)(-8 + 8i) = 0

Remove parenthesis around (4i)
4i(-8 + 8i) = 0
(-8 * 4i + 8i * 4i) = 0
(-32i + 32i2) = 0

Solving
-32i + 32i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '32i'.
32i(-1 + i) = 0

Ignore the factor 32.

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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