8(-2i)(-5-4i)=

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Solution for 8(-2i)(-5-4i)= equation: 


Simplifying
8(-2i)(-5 + -4i) = 0

Remove parenthesis around (-2i)
8 * -2i(-5 + -4i) = 0

Multiply 8 * -2
-16i(-5 + -4i) = 0
(-5 * -16i + -4i * -16i) = 0
(80i + 64i2) = 0

Solving
80i + 64i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '16i'.
16i(5 + 4i) = 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 '(5 + 4i)' equal to zero and attempt to solve:

Simplifying
5 + 4i = 0

Solving
5 + 4i = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4i = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4i = 0 + -5
4i = 0 + -5

Combine like terms: 0 + -5 = -5
4i = -5

Divide each side by '4'.
i = -1.25

Simplifying
i = -1.25
Solution
i = {0, -1.25}

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