3i(5-8i)=0

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


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

Solving
15i + -24i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '3i'.
3i(5 + -8i) = 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 '(5 + -8i)' equal to zero and attempt to solve:

Simplifying
5 + -8i = 0

Solving
5 + -8i = 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 + -8i = 0 + -5

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

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

Divide each side by '-8'.
i = 0.625

Simplifying
i = 0.625
Solution
i = {0, 0.625}

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