3i(8-5i)=0

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Solution for 3i(8-5i)=0 equation: 


Simplifying
3i(8 + -5i) = 0
(8 * 3i + -5i * 3i) = 0
(24i + -15i2) = 0

Solving
24i + -15i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '3i'.
3i(8 + -5i) = 0

Ignore the factor 3.

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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