-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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