3i(9-5i)=

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Solution for 3i(9-5i)= equation: 


Simplifying
3i(9 + -5i) = 0
(9 * 3i + -5i * 3i) = 0
(27i + -15i2) = 0

Solving
27i + -15i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '3i'.
3i(9 + -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 '(9 + -5i)' equal to zero and attempt to solve:

Simplifying
9 + -5i = 0

Solving
9 + -5i = 0

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

Add '-9' to each side of the equation.
9 + -9 + -5i = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5i = 0 + -9
-5i = 0 + -9

Combine like terms: 0 + -9 = -9
-5i = -9

Divide each side by '-5'.
i = 1.8

Simplifying
i = 1.8
Solution
i = {0, 1.8}

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