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

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Solution for (8i)(8-4i)=0 equation: 


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

Remove parenthesis around (8i)
8i(8 + -4i) = 0
(8 * 8i + -4i * 8i) = 0
(64i + -32i2) = 0

Solving
64i + -32i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '32i'.
32i(2 + -1i) = 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 '(2 + -1i)' equal to zero and attempt to solve:

Simplifying
2 + -1i = 0

Solving
2 + -1i = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1i = 0 + -2
-1i = 0 + -2

Combine like terms: 0 + -2 = -2
-1i = -2

Divide each side by '-1'.
i = 2

Simplifying
i = 2
Solution
i = {0, 2}

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