9i(5+3i)=

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


Simplifying
9i(5 + 3i) = 0
(5 * 9i + 3i * 9i) = 0
(45i + 27i2) = 0

Solving
45i + 27i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '9i'.
9i(5 + 3i) = 0

Ignore the factor 9.

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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