2i(5-3i)=0

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Solution for 2i(5-3i)=0 equation: 


Simplifying
2i(5 + -3i) = 0
(5 * 2i + -3i * 2i) = 0
(10i + -6i2) = 0

Solving
10i + -6i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2i'.
2i(5 + -3i) = 0

Ignore the factor 2.

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 + -3i)' equal to zero and attempt to solve:

Simplifying
5 + -3i = 0

Solving
5 + -3i = 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 + -3i = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3i = 0 + -5
-3i = 0 + -5

Combine like terms: 0 + -5 = -5
-3i = -5

Divide each side by '-3'.
i = 1.666666667

Simplifying
i = 1.666666667
Solution
i = {0, 1.666666667}

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