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

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


Simplifying
(5 + 3i) + (2 + -1i) = 0

Remove parenthesis around (5 + 3i)
5 + 3i + (2 + -1i) = 0

Remove parenthesis around (2 + -1i)
5 + 3i + 2 + -1i = 0

Reorder the terms:
5 + 2 + 3i + -1i = 0

Combine like terms: 5 + 2 = 7
7 + 3i + -1i = 0

Combine like terms: 3i + -1i = 2i
7 + 2i = 0

Solving
7 + 2i = 0

Solving for variable 'i'.

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

Add '-7' to each side of the equation.
7 + -7 + 2i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2i = 0 + -7
2i = 0 + -7

Combine like terms: 0 + -7 = -7
2i = -7

Divide each side by '2'.
i = -3.5

Simplifying
i = -3.5

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