(5+3i)+(3-2i)=

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Solution for (5+3i)+(3-2i)= equation:


Simplifying
(5 + 3i) + (3 + -2i) = 0

Remove parenthesis around (5 + 3i)
5 + 3i + (3 + -2i) = 0

Remove parenthesis around (3 + -2i)
5 + 3i + 3 + -2i = 0

Reorder the terms:
5 + 3 + 3i + -2i = 0

Combine like terms: 5 + 3 = 8
8 + 3i + -2i = 0

Combine like terms: 3i + -2i = 1i
8 + 1i = 0

Solving
8 + 1i = 0

Solving for variable 'i'.

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

Add '-8' to each side of the equation.
8 + -8 + 1i = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 1i = 0 + -8
1i = 0 + -8

Combine like terms: 0 + -8 = -8
1i = -8

Divide each side by '1'.
i = -8

Simplifying
i = -8

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