(3i)(-2+6i)=

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Solution for (3i)(-2+6i)= equation: 


Simplifying
(3i)(-2 + 6i) = 0

Remove parenthesis around (3i)
3i(-2 + 6i) = 0
(-2 * 3i + 6i * 3i) = 0
(-6i + 18i2) = 0

Solving
-6i + 18i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '6i'.
6i(-1 + 3i) = 0

Ignore the factor 6.

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 '(-1 + 3i)' equal to zero and attempt to solve:

Simplifying
-1 + 3i = 0

Solving
-1 + 3i = 0

Move all terms containing i to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + 3i = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3i = 0 + 1
3i = 0 + 1

Combine like terms: 0 + 1 = 1
3i = 1

Divide each side by '3'.
i = 0.3333333333

Simplifying
i = 0.3333333333
Solution
i = {0, 0.3333333333}

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