(14+6i)-(9+3i)=

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Solution for (14+6i)-(9+3i)= equation:


Simplifying
(14 + 6i) + -1(9 + 3i) = 0

Remove parenthesis around (14 + 6i)
14 + 6i + -1(9 + 3i) = 0
14 + 6i + (9 * -1 + 3i * -1) = 0
14 + 6i + (-9 + -3i) = 0

Reorder the terms:
14 + -9 + 6i + -3i = 0

Combine like terms: 14 + -9 = 5
5 + 6i + -3i = 0

Combine like terms: 6i + -3i = 3i
5 + 3i = 0

Solving
5 + 3i = 0

Solving for variable 'i'.

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

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