(3-4i)+(5+2i)=

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Solution for (3-4i)+(5+2i)= equation:


Simplifying
(3 + -4i) + (5 + 2i) = 0

Remove parenthesis around (3 + -4i)
3 + -4i + (5 + 2i) = 0

Remove parenthesis around (5 + 2i)
3 + -4i + 5 + 2i = 0

Reorder the terms:
3 + 5 + -4i + 2i = 0

Combine like terms: 3 + 5 = 8
8 + -4i + 2i = 0

Combine like terms: -4i + 2i = -2i
8 + -2i = 0

Solving
8 + -2i = 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 + -2i = 0 + -8

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

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

Divide each side by '-2'.
i = 4

Simplifying
i = 4

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