9i(8-2i)=

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Solution for 9i(8-2i)= equation:


Simplifying
9i(8 + -2i) = 0
(8 * 9i + -2i * 9i) = 0
(72i + -18i2) = 0

Solving
72i + -18i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '18i'.
18i(4 + -1i) = 0

Ignore the factor 18.

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 '(4 + -1i)' equal to zero and attempt to solve:

Simplifying
4 + -1i = 0

Solving
4 + -1i = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1i = 0 + -4
-1i = 0 + -4

Combine like terms: 0 + -4 = -4
-1i = -4

Divide each side by '-1'.
i = 4

Simplifying
i = 4
Solution
i = {0, 4}

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