4i(8+5i)=0

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Solution for 4i(8+5i)=0 equation: 


Simplifying
4i(8 + 5i) = 0
(8 * 4i + 5i * 4i) = 0
(32i + 20i2) = 0

Solving
32i + 20i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '4i'.
4i(8 + 5i) = 0

Ignore the factor 4.

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 '(8 + 5i)' equal to zero and attempt to solve:

Simplifying
8 + 5i = 0

Solving
8 + 5i = 0

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

Add '-8' to each side of the equation.
8 + -8 + 5i = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5i = 0 + -8
5i = 0 + -8

Combine like terms: 0 + -8 = -8
5i = -8

Divide each side by '5'.
i = -1.6

Simplifying
i = -1.6
Solution
i = {0, -1.6}

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