-3i(5-2i)=0

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


Simplifying
-3i(5 + -2i) = 0
(5 * -3i + -2i * -3i) = 0
(-15i + 6i2) = 0

Solving
-15i + 6i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '3i'.
3i(-5 + 2i) = 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 + 2i)' equal to zero and attempt to solve:

Simplifying
-5 + 2i = 0

Solving
-5 + 2i = 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 + 2i = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2i = 0 + 5
2i = 0 + 5

Combine like terms: 0 + 5 = 5
2i = 5

Divide each side by '2'.
i = 2.5

Simplifying
i = 2.5
Solution
i = {0, 2.5}

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